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Finding the Fourth Proportional to 417,490.64, 576,138.12 and 226,503.98

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Solution

The fourth proportional to 417,490.64, 576,138.12 and 226,503.98 is: 312,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,490.64 : 576,138.12 = 226,503.98 : x
  2. Step 2: Convert to fraction form
    417,490.64/576,138.12 = 226,503.98/x
  3. Step 3: Cross multiply
    417,490.64x = 576,138.12 × 226,503.98
  4. Step 4: Simplify right side
    417,490.64x = 130,497,575,640.16
  5. Step 5: Solve for x
    x = 130,497,575,640.16/417,490.64
  6. Step 6: Final answer
    x = 312,576.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.