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Finding the Fourth Proportional to 410,137.40, 614,768.70 and 157,320.20

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Solution

The fourth proportional to 410,137.40, 614,768.70 and 157,320.20 is: 235,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,137.40 : 614,768.70 = 157,320.20 : x
  2. Step 2: Convert to fraction form
    410,137.40/614,768.70 = 157,320.20/x
  3. Step 3: Cross multiply
    410,137.40x = 614,768.70 × 157,320.20
  4. Step 4: Simplify right side
    410,137.40x = 96,715,534,837.74
  5. Step 5: Solve for x
    x = 96,715,534,837.74/410,137.40
  6. Step 6: Final answer
    x = 235,812.52

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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.