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Finding the Fourth Proportional to 469,390.76, 704,141.12 and 149,430.57

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Solution

The fourth proportional to 469,390.76, 704,141.12 and 149,430.57 is: 224,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,390.76 : 704,141.12 = 149,430.57 : x
  2. Step 2: Convert to fraction form
    469,390.76/704,141.12 = 149,430.57/x
  3. Step 3: Cross multiply
    469,390.76x = 704,141.12 × 149,430.57
  4. Step 4: Simplify right side
    469,390.76x = 105,220,205,814.54
  5. Step 5: Solve for x
    x = 105,220,205,814.54/469,390.76
  6. Step 6: Final answer
    x = 224,163.35

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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.