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Finding the Fourth Proportional to 335,188.60, 502,946.70 and 157,713.16

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Solution

The fourth proportional to 335,188.60, 502,946.70 and 157,713.16 is: 236,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,188.60 : 502,946.70 = 157,713.16 : x
  2. Step 2: Convert to fraction form
    335,188.60/502,946.70 = 157,713.16/x
  3. Step 3: Cross multiply
    335,188.60x = 502,946.70 × 157,713.16
  4. Step 4: Simplify right side
    335,188.60x = 79,321,313,368.57
  5. Step 5: Solve for x
    x = 79,321,313,368.57/335,188.60
  6. Step 6: Final answer
    x = 236,646.81

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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.