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Finding the Fourth Proportional to 485,620.60, 727,653.30 and 319,214.20

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Solution

The fourth proportional to 485,620.60, 727,653.30 and 319,214.20 is: 478,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,620.60 : 727,653.30 = 319,214.20 : x
  2. Step 2: Convert to fraction form
    485,620.60/727,653.30 = 319,214.20/x
  3. Step 3: Cross multiply
    485,620.60x = 727,653.30 × 319,214.20
  4. Step 4: Simplify right side
    485,620.60x = 232,277,266,036.86
  5. Step 5: Solve for x
    x = 232,277,266,036.86/485,620.60
  6. Step 6: Final answer
    x = 478,310.16

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Why These Related Problems?

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