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Finding the Fourth Proportional to 424,603.12, 586,214.10 and 292,224

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Solution

The fourth proportional to 424,603.12, 586,214.10 and 292,224 is: 403,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,603.12 : 586,214.10 = 292,224 : x
  2. Step 2: Convert to fraction form
    424,603.12/586,214.10 = 292,224/x
  3. Step 3: Cross multiply
    424,603.12x = 586,214.10 × 292,224
  4. Step 4: Simplify right side
    424,603.12x = 171,305,829,158.40
  5. Step 5: Solve for x
    x = 171,305,829,158.40/424,603.12
  6. Step 6: Final answer
    x = 403,449.29

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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.