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Finding the Fourth Proportional to 452,449.89, 678,562.70 and 152,923.82

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Solution

The fourth proportional to 452,449.89, 678,562.70 and 152,923.82 is: 229,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,449.89 : 678,562.70 = 152,923.82 : x
  2. Step 2: Convert to fraction form
    452,449.89/678,562.70 = 152,923.82/x
  3. Step 3: Cross multiply
    452,449.89x = 678,562.70 × 152,923.82
  4. Step 4: Simplify right side
    452,449.89x = 103,768,396,036.08
  5. Step 5: Solve for x
    x = 103,768,396,036.08/452,449.89
  6. Step 6: Final answer
    x = 229,347.82

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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.