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Finding the Fourth Proportional to 585,206.16, 807,585.52 and 316,934.16

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Solution

The fourth proportional to 585,206.16, 807,585.52 and 316,934.16 is: 437,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,206.16 : 807,585.52 = 316,934.16 : x
  2. Step 2: Convert to fraction form
    585,206.16/807,585.52 = 316,934.16/x
  3. Step 3: Cross multiply
    585,206.16x = 807,585.52 × 316,934.16
  4. Step 4: Simplify right side
    585,206.16x = 255,951,438,409.36
  5. Step 5: Solve for x
    x = 255,951,438,409.36/585,206.16
  6. Step 6: Final answer
    x = 437,369.69

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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.