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Finding the Fourth Proportional to 385,328.40, 577,963.80 and 160,630.80

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Solution

The fourth proportional to 385,328.40, 577,963.80 and 160,630.80 is: 240,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,328.40 : 577,963.80 = 160,630.80 : x
  2. Step 2: Convert to fraction form
    385,328.40/577,963.80 = 160,630.80/x
  3. Step 3: Cross multiply
    385,328.40x = 577,963.80 × 160,630.80
  4. Step 4: Simplify right side
    385,328.40x = 92,838,787,565.04
  5. Step 5: Solve for x
    x = 92,838,787,565.04/385,328.40
  6. Step 6: Final answer
    x = 240,934.19

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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.