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Finding the Fourth Proportional to 390,282.71, 538,617.33 and 218,234.16

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Solution

The fourth proportional to 390,282.71, 538,617.33 and 218,234.16 is: 301,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,282.71 : 538,617.33 = 218,234.16 : x
  2. Step 2: Convert to fraction form
    390,282.71/538,617.33 = 218,234.16/x
  3. Step 3: Cross multiply
    390,282.71x = 538,617.33 × 218,234.16
  4. Step 4: Simplify right side
    390,282.71x = 117,544,700,573.99
  5. Step 5: Solve for x
    x = 117,544,700,573.99/390,282.71
  6. Step 6: Final answer
    x = 301,178.35

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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.