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Finding the Fourth Proportional to 535,251.54, 802,878.71 and 180,514.74

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Solution

The fourth proportional to 535,251.54, 802,878.71 and 180,514.74 is: 270,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,251.54 : 802,878.71 = 180,514.74 : x
  2. Step 2: Convert to fraction form
    535,251.54/802,878.71 = 180,514.74/x
  3. Step 3: Cross multiply
    535,251.54x = 802,878.71 × 180,514.74
  4. Step 4: Simplify right side
    535,251.54x = 144,931,440,684.61
  5. Step 5: Solve for x
    x = 144,931,440,684.61/535,251.54
  6. Step 6: Final answer
    x = 270,772.58

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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.