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Finding the Fourth Proportional to 473,141.80, 709,712.70 and 434,434.60

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Solution

The fourth proportional to 473,141.80, 709,712.70 and 434,434.60 is: 651,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,141.80 : 709,712.70 = 434,434.60 : x
  2. Step 2: Convert to fraction form
    473,141.80/709,712.70 = 434,434.60/x
  3. Step 3: Cross multiply
    473,141.80x = 709,712.70 × 434,434.60
  4. Step 4: Simplify right side
    473,141.80x = 308,323,752,939.42
  5. Step 5: Solve for x
    x = 308,323,752,939.42/473,141.80
  6. Step 6: Final answer
    x = 651,651.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.