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Finding the Fourth Proportional to 473,081.60, 709,735.80 and 157,541.24

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Solution

The fourth proportional to 473,081.60, 709,735.80 and 157,541.24 is: 236,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,081.60 : 709,735.80 = 157,541.24 : x
  2. Step 2: Convert to fraction form
    473,081.60/709,735.80 = 157,541.24/x
  3. Step 3: Cross multiply
    473,081.60x = 709,735.80 × 157,541.24
  4. Step 4: Simplify right side
    473,081.60x = 111,812,658,004.39
  5. Step 5: Solve for x
    x = 111,812,658,004.39/473,081.60
  6. Step 6: Final answer
    x = 236,349.62

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