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Finding the Fourth Proportional to 703,451.71, 971,098.10 and 471,278.42

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Solution

The fourth proportional to 703,451.71, 971,098.10 and 471,278.42 is: 650,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,451.71 : 971,098.10 = 471,278.42 : x
  2. Step 2: Convert to fraction form
    703,451.71/971,098.10 = 471,278.42/x
  3. Step 3: Cross multiply
    703,451.71x = 971,098.10 × 471,278.42
  4. Step 4: Simplify right side
    703,451.71x = 457,657,578,233.00
  5. Step 5: Solve for x
    x = 457,657,578,233.00/703,451.71
  6. Step 6: Final answer
    x = 650,588.48

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Double scale
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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.