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Finding the Fourth Proportional to 390,095, 538,331.10 and 211,247

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Solution

The fourth proportional to 390,095, 538,331.10 and 211,247 is: 291,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,095 : 538,331.10 = 211,247 : x
  2. Step 2: Convert to fraction form
    390,095/538,331.10 = 211,247/x
  3. Step 3: Cross multiply
    390,095x = 538,331.10 × 211,247
  4. Step 4: Simplify right side
    390,095x = 113,720,829,881.70
  5. Step 5: Solve for x
    x = 113,720,829,881.70/390,095
  6. Step 6: Final answer
    x = 291,520.86

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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.