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Finding the Fourth Proportional to 294,109.60, 441,386.88 and 215,428.36

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Solution

The fourth proportional to 294,109.60, 441,386.88 and 215,428.36 is: 323,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,109.60 : 441,386.88 = 215,428.36 : x
  2. Step 2: Convert to fraction form
    294,109.60/441,386.88 = 215,428.36/x
  3. Step 3: Cross multiply
    294,109.60x = 441,386.88 × 215,428.36
  4. Step 4: Simplify right side
    294,109.60x = 95,087,251,683.92
  5. Step 5: Solve for x
    x = 95,087,251,683.92/294,109.60
  6. Step 6: Final answer
    x = 323,305.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.