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Finding the Fourth Proportional to 499,443.30, 749,275.90 and 233,058.50

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Solution

The fourth proportional to 499,443.30, 749,275.90 and 233,058.50 is: 349,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,443.30 : 749,275.90 = 233,058.50 : x
  2. Step 2: Convert to fraction form
    499,443.30/749,275.90 = 233,058.50/x
  3. Step 3: Cross multiply
    499,443.30x = 749,275.90 × 233,058.50
  4. Step 4: Simplify right side
    499,443.30x = 174,625,117,340.15
  5. Step 5: Solve for x
    x = 174,625,117,340.15/499,443.30
  6. Step 6: Final answer
    x = 349,639.52

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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.