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Finding the Fourth Proportional to 295,098.81, 407,224.57 and 174,279.03

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Solution

The fourth proportional to 295,098.81, 407,224.57 and 174,279.03 is: 240,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,098.81 : 407,224.57 = 174,279.03 : x
  2. Step 2: Convert to fraction form
    295,098.81/407,224.57 = 174,279.03/x
  3. Step 3: Cross multiply
    295,098.81x = 407,224.57 × 174,279.03
  4. Step 4: Simplify right side
    295,098.81x = 70,970,703,051.77
  5. Step 5: Solve for x
    x = 70,970,703,051.77/295,098.81
  6. Step 6: Final answer
    x = 240,498.10

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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.