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Finding the Fourth Proportional to 410,117.80, 614,658.30 and 365,535.40

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Solution

The fourth proportional to 410,117.80, 614,658.30 and 365,535.40 is: 547,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,117.80 : 614,658.30 = 365,535.40 : x
  2. Step 2: Convert to fraction form
    410,117.80/614,658.30 = 365,535.40/x
  3. Step 3: Cross multiply
    410,117.80x = 614,658.30 × 365,535.40
  4. Step 4: Simplify right side
    410,117.80x = 224,679,367,553.82
  5. Step 5: Solve for x
    x = 224,679,367,553.82/410,117.80
  6. Step 6: Final answer
    x = 547,841.05

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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.