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Finding the Fourth Proportional to 506,802.60, 699,378.66 and 291,942

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Solution

The fourth proportional to 506,802.60, 699,378.66 and 291,942 is: 402,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,802.60 : 699,378.66 = 291,942 : x
  2. Step 2: Convert to fraction form
    506,802.60/699,378.66 = 291,942/x
  3. Step 3: Cross multiply
    506,802.60x = 699,378.66 × 291,942
  4. Step 4: Simplify right side
    506,802.60x = 204,178,004,757.72
  5. Step 5: Solve for x
    x = 204,178,004,757.72/506,802.60
  6. Step 6: Final answer
    x = 402,874.82

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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.