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Finding the Fourth Proportional to 601,605.53, 829,905.07 and 407,947.74

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Solution

The fourth proportional to 601,605.53, 829,905.07 and 407,947.74 is: 562,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,605.53 : 829,905.07 = 407,947.74 : x
  2. Step 2: Convert to fraction form
    601,605.53/829,905.07 = 407,947.74/x
  3. Step 3: Cross multiply
    601,605.53x = 829,905.07 × 407,947.74
  4. Step 4: Simplify right side
    601,605.53x = 338,557,897,874.79
  5. Step 5: Solve for x
    x = 338,557,897,874.79/601,605.53
  6. Step 6: Final answer
    x = 562,757.29

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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.