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Finding the Fourth Proportional to 493,956.32, 740,147.16 and 316,317.20

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Solution

The fourth proportional to 493,956.32, 740,147.16 and 316,317.20 is: 473,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,956.32 : 740,147.16 = 316,317.20 : x
  2. Step 2: Convert to fraction form
    493,956.32/740,147.16 = 316,317.20/x
  3. Step 3: Cross multiply
    493,956.32x = 740,147.16 × 316,317.20
  4. Step 4: Simplify right side
    493,956.32x = 234,121,277,239.15
  5. Step 5: Solve for x
    x = 234,121,277,239.15/493,956.32
  6. Step 6: Final answer
    x = 473,971.62

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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.