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Finding the Fourth Proportional to 473,085.60, 709,741.80 and 157,545.24

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Solution

The fourth proportional to 473,085.60, 709,741.80 and 157,545.24 is: 236,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,085.60 : 709,741.80 = 157,545.24 : x
  2. Step 2: Convert to fraction form
    473,085.60/709,741.80 = 157,545.24/x
  3. Step 3: Cross multiply
    473,085.60x = 709,741.80 × 157,545.24
  4. Step 4: Simplify right side
    473,085.60x = 111,816,442,219.03
  5. Step 5: Solve for x
    x = 111,816,442,219.03/473,085.60
  6. Step 6: Final answer
    x = 236,355.62

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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.