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Finding the Fourth Proportional to 410,118.40, 614,740.20 and 157,301.20

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Solution

The fourth proportional to 410,118.40, 614,740.20 and 157,301.20 is: 235,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,118.40 : 614,740.20 = 157,301.20 : x
  2. Step 2: Convert to fraction form
    410,118.40/614,740.20 = 157,301.20/x
  3. Step 3: Cross multiply
    410,118.40x = 614,740.20 × 157,301.20
  4. Step 4: Simplify right side
    410,118.40x = 96,699,371,148.24
  5. Step 5: Solve for x
    x = 96,699,371,148.24/410,118.40
  6. Step 6: Final answer
    x = 235,784.03

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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.