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Finding the Fourth Proportional to 295,213.40, 407,382.75 and 174,393.48

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Solution

The fourth proportional to 295,213.40, 407,382.75 and 174,393.48 is: 240,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,213.40 : 407,382.75 = 174,393.48 : x
  2. Step 2: Convert to fraction form
    295,213.40/407,382.75 = 174,393.48/x
  3. Step 3: Cross multiply
    295,213.40x = 407,382.75 × 174,393.48
  4. Step 4: Simplify right side
    295,213.40x = 71,044,895,464.47
  5. Step 5: Solve for x
    x = 71,044,895,464.47/295,213.40
  6. Step 6: Final answer
    x = 240,656.07

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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.