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Finding the Fourth Proportional to 564,969.06, 847,454.94 and 138,506.76

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Solution

The fourth proportional to 564,969.06, 847,454.94 and 138,506.76 is: 207,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,969.06 : 847,454.94 = 138,506.76 : x
  2. Step 2: Convert to fraction form
    564,969.06/847,454.94 = 138,506.76/x
  3. Step 3: Cross multiply
    564,969.06x = 847,454.94 × 138,506.76
  4. Step 4: Simplify right side
    564,969.06x = 117,378,237,985.39
  5. Step 5: Solve for x
    x = 117,378,237,985.39/564,969.06
  6. Step 6: Final answer
    x = 207,760.47

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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.