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Finding the Fourth Proportional to 386,047.02, 532,744.11 and 216,277.50

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Solution

The fourth proportional to 386,047.02, 532,744.11 and 216,277.50 is: 298,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,047.02 : 532,744.11 = 216,277.50 : x
  2. Step 2: Convert to fraction form
    386,047.02/532,744.11 = 216,277.50/x
  3. Step 3: Cross multiply
    386,047.02x = 532,744.11 × 216,277.50
  4. Step 4: Simplify right side
    386,047.02x = 115,220,564,250.53
  5. Step 5: Solve for x
    x = 115,220,564,250.53/386,047.02
  6. Step 6: Final answer
    x = 298,462.51

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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.