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Finding the Fourth Proportional to 385,006.86, 577,122.60 and 160,491.60

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Solution

The fourth proportional to 385,006.86, 577,122.60 and 160,491.60 is: 240,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,006.86 : 577,122.60 = 160,491.60 : x
  2. Step 2: Convert to fraction form
    385,006.86/577,122.60 = 160,491.60/x
  3. Step 3: Cross multiply
    385,006.86x = 577,122.60 × 160,491.60
  4. Step 4: Simplify right side
    385,006.86x = 92,623,329,470.16
  5. Step 5: Solve for x
    x = 92,623,329,470.16/385,006.86
  6. Step 6: Final answer
    x = 240,575.79

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1.5x scale

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.