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Finding the Fourth Proportional to 295,013.28, 407,132.80 and 165,992.16

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Solution

The fourth proportional to 295,013.28, 407,132.80 and 165,992.16 is: 229,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,013.28 : 407,132.80 = 165,992.16 : x
  2. Step 2: Convert to fraction form
    295,013.28/407,132.80 = 165,992.16/x
  3. Step 3: Cross multiply
    295,013.28x = 407,132.80 × 165,992.16
  4. Step 4: Simplify right side
    295,013.28x = 67,580,852,878.85
  5. Step 5: Solve for x
    x = 67,580,852,878.85/295,013.28
  6. Step 6: Final answer
    x = 229,077.32

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1.5x scale

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.