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Finding the Fourth Proportional to 713,605.60, 984,821.25 and 471,463.39

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Solution

The fourth proportional to 713,605.60, 984,821.25 and 471,463.39 is: 650,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,605.60 : 984,821.25 = 471,463.39 : x
  2. Step 2: Convert to fraction form
    713,605.60/984,821.25 = 471,463.39/x
  3. Step 3: Cross multiply
    713,605.60x = 984,821.25 × 471,463.39
  4. Step 4: Simplify right side
    713,605.60x = 464,307,165,069.04
  5. Step 5: Solve for x
    x = 464,307,165,069.04/713,605.60
  6. Step 6: Final answer
    x = 650,649.55

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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.