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Finding the Fourth Proportional to 395,424.80, 592,875.12 and 218,016.80

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Solution

The fourth proportional to 395,424.80, 592,875.12 and 218,016.80 is: 326,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,424.80 : 592,875.12 = 218,016.80 : x
  2. Step 2: Convert to fraction form
    395,424.80/592,875.12 = 218,016.80/x
  3. Step 3: Cross multiply
    395,424.80x = 592,875.12 × 218,016.80
  4. Step 4: Simplify right side
    395,424.80x = 129,256,736,462.02
  5. Step 5: Solve for x
    x = 129,256,736,462.02/395,424.80
  6. Step 6: Final answer
    x = 326,880.70

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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.