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Finding the Fourth Proportional to 425,142, 586,722.56 and 234,155.32

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Solution

The fourth proportional to 425,142, 586,722.56 and 234,155.32 is: 323,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,142 : 586,722.56 = 234,155.32 : x
  2. Step 2: Convert to fraction form
    425,142/586,722.56 = 234,155.32/x
  3. Step 3: Cross multiply
    425,142x = 586,722.56 × 234,155.32
  4. Step 4: Simplify right side
    425,142x = 137,384,208,788.02
  5. Step 5: Solve for x
    x = 137,384,208,788.02/425,142
  6. Step 6: Final answer
    x = 323,148.99

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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.