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Finding the Fourth Proportional to 429,201.68, 592,250.28 and 238,223.12

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Solution

The fourth proportional to 429,201.68, 592,250.28 and 238,223.12 is: 328,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,201.68 : 592,250.28 = 238,223.12 : x
  2. Step 2: Convert to fraction form
    429,201.68/592,250.28 = 238,223.12/x
  3. Step 3: Cross multiply
    429,201.68x = 592,250.28 × 238,223.12
  4. Step 4: Simplify right side
    429,201.68x = 141,087,709,522.47
  5. Step 5: Solve for x
    x = 141,087,709,522.47/429,201.68
  6. Step 6: Final answer
    x = 328,721.24

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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.