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Finding the Fourth Proportional to 517,408.80, 714,016.98 and 287,966.01

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Solution

The fourth proportional to 517,408.80, 714,016.98 and 287,966.01 is: 397,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,408.80 : 714,016.98 = 287,966.01 : x
  2. Step 2: Convert to fraction form
    517,408.80/714,016.98 = 287,966.01/x
  3. Step 3: Cross multiply
    517,408.80x = 714,016.98 × 287,966.01
  4. Step 4: Simplify right side
    517,408.80x = 205,612,620,802.85
  5. Step 5: Solve for x
    x = 205,612,620,802.85/517,408.80
  6. Step 6: Final answer
    x = 397,389.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.