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Finding the Fourth Proportional to 276,058,328.80, 413,583,608.40 and 224,662,079.20

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Solution

The fourth proportional to 276,058,328.80, 413,583,608.40 and 224,662,079.20 is: 336,583,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,058,328.80 : 413,583,608.40 = 224,662,079.20 : x
  2. Step 2: Convert to fraction form
    276,058,328.80/413,583,608.40 = 224,662,079.20/x
  3. Step 3: Cross multiply
    276,058,328.80x = 413,583,608.40 × 224,662,079.20
  4. Step 4: Simplify right side
    276,058,328.80x = 92,916,553,386,182,576
  5. Step 5: Solve for x
    x = 92,916,553,386,182,576/276,058,328.80
  6. Step 6: Final answer
    x = 336,583,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.