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Finding the Fourth Proportional to 295,580.28, 407,754.64 and 174,663.08

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Solution

The fourth proportional to 295,580.28, 407,754.64 and 174,663.08 is: 240,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,580.28 : 407,754.64 = 174,663.08 : x
  2. Step 2: Convert to fraction form
    295,580.28/407,754.64 = 174,663.08/x
  3. Step 3: Cross multiply
    295,580.28x = 407,754.64 × 174,663.08
  4. Step 4: Simplify right side
    295,580.28x = 71,219,681,306.69
  5. Step 5: Solve for x
    x = 71,219,681,306.69/295,580.28
  6. Step 6: Final answer
    x = 240,948.69

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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.