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Finding the Fourth Proportional to 576,412.30, 864,618.45 and 506,428.30

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Solution

The fourth proportional to 576,412.30, 864,618.45 and 506,428.30 is: 759,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,412.30 : 864,618.45 = 506,428.30 : x
  2. Step 2: Convert to fraction form
    576,412.30/864,618.45 = 506,428.30/x
  3. Step 3: Cross multiply
    576,412.30x = 864,618.45 × 506,428.30
  4. Step 4: Simplify right side
    576,412.30x = 437,867,251,782.14
  5. Step 5: Solve for x
    x = 437,867,251,782.14/576,412.30
  6. Step 6: Final answer
    x = 759,642.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.