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Finding the Fourth Proportional to 564,598.80, 847,028.04 and 165,230.16

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Solution

The fourth proportional to 564,598.80, 847,028.04 and 165,230.16 is: 247,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,598.80 : 847,028.04 = 165,230.16 : x
  2. Step 2: Convert to fraction form
    564,598.80/847,028.04 = 165,230.16/x
  3. Step 3: Cross multiply
    564,598.80x = 847,028.04 × 165,230.16
  4. Step 4: Simplify right side
    564,598.80x = 139,954,578,573.69
  5. Step 5: Solve for x
    x = 139,954,578,573.69/564,598.80
  6. Step 6: Final answer
    x = 247,883.24

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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.