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Finding the Fourth Proportional to 585,204, 807,581.52 and 316,932

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Solution

The fourth proportional to 585,204, 807,581.52 and 316,932 is: 437,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,204 : 807,581.52 = 316,932 : x
  2. Step 2: Convert to fraction form
    585,204/807,581.52 = 316,932/x
  3. Step 3: Cross multiply
    585,204x = 807,581.52 × 316,932
  4. Step 4: Simplify right side
    585,204x = 255,948,426,296.64
  5. Step 5: Solve for x
    x = 255,948,426,296.64/585,204
  6. Step 6: Final answer
    x = 437,366.16

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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.