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Finding the Fourth Proportional to 385,532.70, 578,385.45 and 148,854.30

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Solution

The fourth proportional to 385,532.70, 578,385.45 and 148,854.30 is: 223,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,532.70 : 578,385.45 = 148,854.30 : x
  2. Step 2: Convert to fraction form
    385,532.70/578,385.45 = 148,854.30/x
  3. Step 3: Cross multiply
    385,532.70x = 578,385.45 × 148,854.30
  4. Step 4: Simplify right side
    385,532.70x = 86,095,161,289.94
  5. Step 5: Solve for x
    x = 86,095,161,289.94/385,532.70
  6. Step 6: Final answer
    x = 223,314.81

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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.