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Finding the Fourth Proportional to 277,646.24, 416,683.28 and 144,560

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Solution

The fourth proportional to 277,646.24, 416,683.28 and 144,560 is: 216,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,646.24 : 416,683.28 = 144,560 : x
  2. Step 2: Convert to fraction form
    277,646.24/416,683.28 = 144,560/x
  3. Step 3: Cross multiply
    277,646.24x = 416,683.28 × 144,560
  4. Step 4: Simplify right side
    277,646.24x = 60,235,734,956.80
  5. Step 5: Solve for x
    x = 60,235,734,956.80/277,646.24
  6. Step 6: Final answer
    x = 216,951.38

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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.