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Finding the Fourth Proportional to 584,814.25, 807,046.10 and 316,542.25

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Solution

The fourth proportional to 584,814.25, 807,046.10 and 316,542.25 is: 436,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,814.25 : 807,046.10 = 316,542.25 : x
  2. Step 2: Convert to fraction form
    584,814.25/807,046.10 = 316,542.25/x
  3. Step 3: Cross multiply
    584,814.25x = 807,046.10 × 316,542.25
  4. Step 4: Simplify right side
    584,814.25x = 255,464,188,347.73
  5. Step 5: Solve for x
    x = 255,464,188,347.73/584,814.25
  6. Step 6: Final answer
    x = 436,829.62

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1.5x scale

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.