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Finding the Fourth Proportional to 472,956.60, 709,434.90 and 295,663.80

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Solution

The fourth proportional to 472,956.60, 709,434.90 and 295,663.80 is: 443,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,956.60 : 709,434.90 = 295,663.80 : x
  2. Step 2: Convert to fraction form
    472,956.60/709,434.90 = 295,663.80/x
  3. Step 3: Cross multiply
    472,956.60x = 709,434.90 × 295,663.80
  4. Step 4: Simplify right side
    472,956.60x = 209,754,218,386.62
  5. Step 5: Solve for x
    x = 209,754,218,386.62/472,956.60
  6. Step 6: Final answer
    x = 443,495.70

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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.