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Finding the Fourth Proportional to 343,071.28, 514,641.84 and 118,402.48

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Solution

The fourth proportional to 343,071.28, 514,641.84 and 118,402.48 is: 177,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,071.28 : 514,641.84 = 118,402.48 : x
  2. Step 2: Convert to fraction form
    343,071.28/514,641.84 = 118,402.48/x
  3. Step 3: Cross multiply
    343,071.28x = 514,641.84 × 118,402.48
  4. Step 4: Simplify right side
    343,071.28x = 60,934,870,167.76
  5. Step 5: Solve for x
    x = 60,934,870,167.76/343,071.28
  6. Step 6: Final answer
    x = 177,615.77

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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.