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Finding the Fourth Proportional to 564,895.80, 847,460.32 and 165,549.60

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Solution

The fourth proportional to 564,895.80, 847,460.32 and 165,549.60 is: 248,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,895.80 : 847,460.32 = 165,549.60 : x
  2. Step 2: Convert to fraction form
    564,895.80/847,460.32 = 165,549.60/x
  3. Step 3: Cross multiply
    564,895.80x = 847,460.32 × 165,549.60
  4. Step 4: Simplify right side
    564,895.80x = 140,296,716,991.87
  5. Step 5: Solve for x
    x = 140,296,716,991.87/564,895.80
  6. Step 6: Final answer
    x = 248,358.58

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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.