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Finding the Fourth Proportional to 410,035.80, 614,762.10 and 157,218.60

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Solution

The fourth proportional to 410,035.80, 614,762.10 and 157,218.60 is: 235,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,035.80 : 614,762.10 = 157,218.60 : x
  2. Step 2: Convert to fraction form
    410,035.80/614,762.10 = 157,218.60/x
  3. Step 3: Cross multiply
    410,035.80x = 614,762.10 × 157,218.60
  4. Step 4: Simplify right side
    410,035.80x = 96,652,036,695.06
  5. Step 5: Solve for x
    x = 96,652,036,695.06/410,035.80
  6. Step 6: Final answer
    x = 235,716.09

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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.