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Finding the Fourth Proportional to 410,097.30, 614,627.55 and 365,514.90

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Solution

The fourth proportional to 410,097.30, 614,627.55 and 365,514.90 is: 547,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.30 : 614,627.55 = 365,514.90 : x
  2. Step 2: Convert to fraction form
    410,097.30/614,627.55 = 365,514.90/x
  3. Step 3: Cross multiply
    410,097.30x = 614,627.55 × 365,514.90
  4. Step 4: Simplify right side
    410,097.30x = 224,655,527,475.50
  5. Step 5: Solve for x
    x = 224,655,527,475.50/410,097.30
  6. Step 6: Final answer
    x = 547,810.31

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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.