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Finding the Fourth Proportional to 390,057.50, 538,279.35 and 211,209.50

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Solution

The fourth proportional to 390,057.50, 538,279.35 and 211,209.50 is: 291,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.50 : 538,279.35 = 211,209.50 : x
  2. Step 2: Convert to fraction form
    390,057.50/538,279.35 = 211,209.50/x
  3. Step 3: Cross multiply
    390,057.50x = 538,279.35 × 211,209.50
  4. Step 4: Simplify right side
    390,057.50x = 113,689,712,373.83
  5. Step 5: Solve for x
    x = 113,689,712,373.83/390,057.50
  6. Step 6: Final answer
    x = 291,469.11

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