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Finding the Fourth Proportional to 538,702.54, 807,877.96 and 178,776.72

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Solution

The fourth proportional to 538,702.54, 807,877.96 and 178,776.72 is: 268,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,702.54 : 807,877.96 = 178,776.72 : x
  2. Step 2: Convert to fraction form
    538,702.54/807,877.96 = 178,776.72/x
  3. Step 3: Cross multiply
    538,702.54x = 807,877.96 × 178,776.72
  4. Step 4: Simplify right side
    538,702.54x = 144,429,771,849.09
  5. Step 5: Solve for x
    x = 144,429,771,849.09/538,702.54
  6. Step 6: Final answer
    x = 268,106.72

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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.