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Finding the Fourth Proportional to 473,086.60, 709,743.30 and 157,546.24

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Solution

The fourth proportional to 473,086.60, 709,743.30 and 157,546.24 is: 236,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,086.60 : 709,743.30 = 157,546.24 : x
  2. Step 2: Convert to fraction form
    473,086.60/709,743.30 = 157,546.24/x
  3. Step 3: Cross multiply
    473,086.60x = 709,743.30 × 157,546.24
  4. Step 4: Simplify right side
    473,086.60x = 111,817,388,280.19
  5. Step 5: Solve for x
    x = 111,817,388,280.19/473,086.60
  6. Step 6: Final answer
    x = 236,357.12

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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.