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Finding the Fourth Proportional to 314,554.88, 471,411.48 and 114,687.20

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Solution

The fourth proportional to 314,554.88, 471,411.48 and 114,687.20 is: 171,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,554.88 : 471,411.48 = 114,687.20 : x
  2. Step 2: Convert to fraction form
    314,554.88/471,411.48 = 114,687.20/x
  3. Step 3: Cross multiply
    314,554.88x = 471,411.48 × 114,687.20
  4. Step 4: Simplify right side
    314,554.88x = 54,064,862,689.06
  5. Step 5: Solve for x
    x = 54,064,862,689.06/314,554.88
  6. Step 6: Final answer
    x = 171,877.36

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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.