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Finding the Fourth Proportional to 390,426.17, 538,784.30 and 218,342.16

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Solution

The fourth proportional to 390,426.17, 538,784.30 and 218,342.16 is: 301,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,426.17 : 538,784.30 = 218,342.16 : x
  2. Step 2: Convert to fraction form
    390,426.17/538,784.30 = 218,342.16/x
  3. Step 3: Cross multiply
    390,426.17x = 538,784.30 × 218,342.16
  4. Step 4: Simplify right side
    390,426.17x = 117,639,326,744.38
  5. Step 5: Solve for x
    x = 117,639,326,744.38/390,426.17
  6. Step 6: Final answer
    x = 301,310.05

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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.