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Finding the Fourth Proportional to 559,423.38, 772,005.28 and 317,705.92

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Solution

The fourth proportional to 559,423.38, 772,005.28 and 317,705.92 is: 438,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,423.38 : 772,005.28 = 317,705.92 : x
  2. Step 2: Convert to fraction form
    559,423.38/772,005.28 = 317,705.92/x
  3. Step 3: Cross multiply
    559,423.38x = 772,005.28 × 317,705.92
  4. Step 4: Simplify right side
    559,423.38x = 245,270,647,727.26
  5. Step 5: Solve for x
    x = 245,270,647,727.26/559,423.38
  6. Step 6: Final answer
    x = 438,434.75

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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.