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Finding the Fourth Proportional to 410,470.93, 615,727.14 and 157,662.79

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Solution

The fourth proportional to 410,470.93, 615,727.14 and 157,662.79 is: 236,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,470.93 : 615,727.14 = 157,662.79 : x
  2. Step 2: Convert to fraction form
    410,470.93/615,727.14 = 157,662.79/x
  3. Step 3: Cross multiply
    410,470.93x = 615,727.14 × 157,662.79
  4. Step 4: Simplify right side
    410,470.93x = 97,077,258,771.12
  5. Step 5: Solve for x
    x = 97,077,258,771.12/410,470.93
  6. Step 6: Final answer
    x = 236,502.15

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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.