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Finding the Fourth Proportional to 585,625, 808,162.50 and 317,353

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Solution

The fourth proportional to 585,625, 808,162.50 and 317,353 is: 437,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,625 : 808,162.50 = 317,353 : x
  2. Step 2: Convert to fraction form
    585,625/808,162.50 = 317,353/x
  3. Step 3: Cross multiply
    585,625x = 808,162.50 × 317,353
  4. Step 4: Simplify right side
    585,625x = 256,472,793,862.50
  5. Step 5: Solve for x
    x = 256,472,793,862.50/585,625
  6. Step 6: Final answer
    x = 437,947.14

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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.