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Finding the Fourth Proportional to 509,710.08, 703,317.12 and 283,349.76

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Solution

The fourth proportional to 509,710.08, 703,317.12 and 283,349.76 is: 390,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,710.08 : 703,317.12 = 283,349.76 : x
  2. Step 2: Convert to fraction form
    509,710.08/703,317.12 = 283,349.76/x
  3. Step 3: Cross multiply
    509,710.08x = 703,317.12 × 283,349.76
  4. Step 4: Simplify right side
    509,710.08x = 199,284,737,155.89
  5. Step 5: Solve for x
    x = 199,284,737,155.89/509,710.08
  6. Step 6: Final answer
    x = 390,976.65

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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.