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Finding the Fourth Proportional to 295,046.02, 407,159.13 and 165,974.74

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Solution

The fourth proportional to 295,046.02, 407,159.13 and 165,974.74 is: 229,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,046.02 : 407,159.13 = 165,974.74 : x
  2. Step 2: Convert to fraction form
    295,046.02/407,159.13 = 165,974.74/x
  3. Step 3: Cross multiply
    295,046.02x = 407,159.13 × 165,974.74
  4. Step 4: Simplify right side
    295,046.02x = 67,578,130,740.38
  5. Step 5: Solve for x
    x = 67,578,130,740.38/295,046.02
  6. Step 6: Final answer
    x = 229,042.68

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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.