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Finding the Fourth Proportional to 295,445.26, 407,708.91 and 180,715.48

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Solution

The fourth proportional to 295,445.26, 407,708.91 and 180,715.48 is: 249,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,445.26 : 407,708.91 = 180,715.48 : x
  2. Step 2: Convert to fraction form
    295,445.26/407,708.91 = 180,715.48/x
  3. Step 3: Cross multiply
    295,445.26x = 407,708.91 × 180,715.48
  4. Step 4: Simplify right side
    295,445.26x = 73,679,311,370.93
  5. Step 5: Solve for x
    x = 73,679,311,370.93/295,445.26
  6. Step 6: Final answer
    x = 249,383.97

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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.