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Finding the Fourth Proportional to 469,744.01, 704,270.95 and 149,711.72

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Solution

The fourth proportional to 469,744.01, 704,270.95 and 149,711.72 is: 224,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,744.01 : 704,270.95 = 149,711.72 : x
  2. Step 2: Convert to fraction form
    469,744.01/704,270.95 = 149,711.72/x
  3. Step 3: Cross multiply
    469,744.01x = 704,270.95 × 149,711.72
  4. Step 4: Simplify right side
    469,744.01x = 105,437,614,197.79
  5. Step 5: Solve for x
    x = 105,437,614,197.79/469,744.01
  6. Step 6: Final answer
    x = 224,457.60

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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.