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Finding the Fourth Proportional to 538,483.41, 807,821.17 and 178,675.88

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Solution

The fourth proportional to 538,483.41, 807,821.17 and 178,675.88 is: 268,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,483.41 : 807,821.17 = 178,675.88 : x
  2. Step 2: Convert to fraction form
    538,483.41/807,821.17 = 178,675.88/x
  3. Step 3: Cross multiply
    538,483.41x = 807,821.17 × 178,675.88
  4. Step 4: Simplify right side
    538,483.41x = 144,338,153,946.58
  5. Step 5: Solve for x
    x = 144,338,153,946.58/538,483.41
  6. Step 6: Final answer
    x = 268,045.68

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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.