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Finding the Fourth Proportional to 410,003.40, 614,567.70 and 157,186.20

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Solution

The fourth proportional to 410,003.40, 614,567.70 and 157,186.20 is: 235,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,003.40 : 614,567.70 = 157,186.20 : x
  2. Step 2: Convert to fraction form
    410,003.40/614,567.70 = 157,186.20/x
  3. Step 3: Cross multiply
    410,003.40x = 614,567.70 × 157,186.20
  4. Step 4: Simplify right side
    410,003.40x = 96,601,561,405.74
  5. Step 5: Solve for x
    x = 96,601,561,405.74/410,003.40
  6. Step 6: Final answer
    x = 235,611.61

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1.5x scale

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.