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Finding the Fourth Proportional to 410,124.40, 614,749.20 and 157,307.20

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Solution

The fourth proportional to 410,124.40, 614,749.20 and 157,307.20 is: 235,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,124.40 : 614,749.20 = 157,307.20 : x
  2. Step 2: Convert to fraction form
    410,124.40/614,749.20 = 157,307.20/x
  3. Step 3: Cross multiply
    410,124.40x = 614,749.20 × 157,307.20
  4. Step 4: Simplify right side
    410,124.40x = 96,704,475,354.24
  5. Step 5: Solve for x
    x = 96,704,475,354.24/410,124.40
  6. Step 6: Final answer
    x = 235,793.03

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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.