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Finding the Fourth Proportional to 685,432.13, 945,415.53 and 478,354.82

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Solution

The fourth proportional to 685,432.13, 945,415.53 and 478,354.82 is: 659,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,432.13 : 945,415.53 = 478,354.82 : x
  2. Step 2: Convert to fraction form
    685,432.13/945,415.53 = 478,354.82/x
  3. Step 3: Cross multiply
    685,432.13x = 945,415.53 × 478,354.82
  4. Step 4: Simplify right side
    685,432.13x = 452,244,070,951.28
  5. Step 5: Solve for x
    x = 452,244,070,951.28/685,432.13
  6. Step 6: Final answer
    x = 659,794.10

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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.