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Finding the Fourth Proportional to 295,287.14, 407,490.57 and 161,152.10

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Solution

The fourth proportional to 295,287.14, 407,490.57 and 161,152.10 is: 222,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,287.14 : 407,490.57 = 161,152.10 : x
  2. Step 2: Convert to fraction form
    295,287.14/407,490.57 = 161,152.10/x
  3. Step 3: Cross multiply
    295,287.14x = 407,490.57 × 161,152.10
  4. Step 4: Simplify right side
    295,287.14x = 65,667,961,085.70
  5. Step 5: Solve for x
    x = 65,667,961,085.70/295,287.14
  6. Step 6: Final answer
    x = 222,386.80

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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.