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Finding the Fourth Proportional to 437,867.10, 656,800.65 and 157,412.70

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Solution

The fourth proportional to 437,867.10, 656,800.65 and 157,412.70 is: 236,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,867.10 : 656,800.65 = 157,412.70 : x
  2. Step 2: Convert to fraction form
    437,867.10/656,800.65 = 157,412.70/x
  3. Step 3: Cross multiply
    437,867.10x = 656,800.65 × 157,412.70
  4. Step 4: Simplify right side
    437,867.10x = 103,388,763,678.26
  5. Step 5: Solve for x
    x = 103,388,763,678.26/437,867.10
  6. Step 6: Final answer
    x = 236,119.05

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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.