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Finding the Fourth Proportional to 410,111.80, 614,649.30 and 365,529.40

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Solution

The fourth proportional to 410,111.80, 614,649.30 and 365,529.40 is: 547,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,111.80 : 614,649.30 = 365,529.40 : x
  2. Step 2: Convert to fraction form
    410,111.80/614,649.30 = 365,529.40/x
  3. Step 3: Cross multiply
    410,111.80x = 614,649.30 × 365,529.40
  4. Step 4: Simplify right side
    410,111.80x = 224,672,389,839.42
  5. Step 5: Solve for x
    x = 224,672,389,839.42/410,111.80
  6. Step 6: Final answer
    x = 547,832.05

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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.