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Finding the Fourth Proportional to 296,287.10, 408,873.13 and 160,318.05

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Solution

The fourth proportional to 296,287.10, 408,873.13 and 160,318.05 is: 221,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,287.10 : 408,873.13 = 160,318.05 : x
  2. Step 2: Convert to fraction form
    296,287.10/408,873.13 = 160,318.05/x
  3. Step 3: Cross multiply
    296,287.10x = 408,873.13 × 160,318.05
  4. Step 4: Simplify right side
    296,287.10x = 65,549,742,899.00
  5. Step 5: Solve for x
    x = 65,549,742,899.00/296,287.10
  6. Step 6: Final answer
    x = 221,237.25

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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.