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Finding the Fourth Proportional to 465,613.44, 698,417.28 and 133,189.44

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Solution

The fourth proportional to 465,613.44, 698,417.28 and 133,189.44 is: 199,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,613.44 : 698,417.28 = 133,189.44 : x
  2. Step 2: Convert to fraction form
    465,613.44/698,417.28 = 133,189.44/x
  3. Step 3: Cross multiply
    465,613.44x = 698,417.28 × 133,189.44
  4. Step 4: Simplify right side
    465,613.44x = 93,021,806,409.52
  5. Step 5: Solve for x
    x = 93,021,806,409.52/465,613.44
  6. Step 6: Final answer
    x = 199,783.34

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1.5x scale

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.