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Finding the Fourth Proportional to 295,240.42, 407,291.45 and 174,300.68

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Solution

The fourth proportional to 295,240.42, 407,291.45 and 174,300.68 is: 240,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,240.42 : 407,291.45 = 174,300.68 : x
  2. Step 2: Convert to fraction form
    295,240.42/407,291.45 = 174,300.68/x
  3. Step 3: Cross multiply
    295,240.42x = 407,291.45 × 174,300.68
  4. Step 4: Simplify right side
    295,240.42x = 70,991,175,821.68
  5. Step 5: Solve for x
    x = 70,991,175,821.68/295,240.42
  6. Step 6: Final answer
    x = 240,452.09

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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.