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Finding the Fourth Proportional to 463,644.06, 695,466.10 and 253,167.18

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Solution

The fourth proportional to 463,644.06, 695,466.10 and 253,167.18 is: 379,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,644.06 : 695,466.10 = 253,167.18 : x
  2. Step 2: Convert to fraction form
    463,644.06/695,466.10 = 253,167.18/x
  3. Step 3: Cross multiply
    463,644.06x = 695,466.10 × 253,167.18
  4. Step 4: Simplify right side
    463,644.06x = 176,069,191,322.60
  5. Step 5: Solve for x
    x = 176,069,191,322.60/463,644.06
  6. Step 6: Final answer
    x = 379,750.78

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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.