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Finding the Fourth Proportional to 506,793.60, 699,366.24 and 291,933

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Solution

The fourth proportional to 506,793.60, 699,366.24 and 291,933 is: 402,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,793.60 : 699,366.24 = 291,933 : x
  2. Step 2: Convert to fraction form
    506,793.60/699,366.24 = 291,933/x
  3. Step 3: Cross multiply
    506,793.60x = 699,366.24 × 291,933
  4. Step 4: Simplify right side
    506,793.60x = 204,168,084,541.92
  5. Step 5: Solve for x
    x = 204,168,084,541.92/506,793.60
  6. Step 6: Final answer
    x = 402,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.