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Finding the Fourth Proportional to 429,515.92, 592,740 and 238,547.20

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Solution

The fourth proportional to 429,515.92, 592,740 and 238,547.20 is: 329,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,515.92 : 592,740 = 238,547.20 : x
  2. Step 2: Convert to fraction form
    429,515.92/592,740 = 238,547.20/x
  3. Step 3: Cross multiply
    429,515.92x = 592,740 × 238,547.20
  4. Step 4: Simplify right side
    429,515.92x = 141,396,467,328
  5. Step 5: Solve for x
    x = 141,396,467,328/429,515.92
  6. Step 6: Final answer
    x = 329,199.60

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