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Finding the Fourth Proportional to 314,157.48, 433,531.35 and 174,451.38

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Solution

The fourth proportional to 314,157.48, 433,531.35 and 174,451.38 is: 240,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,157.48 : 433,531.35 = 174,451.38 : x
  2. Step 2: Convert to fraction form
    314,157.48/433,531.35 = 174,451.38/x
  3. Step 3: Cross multiply
    314,157.48x = 433,531.35 × 174,451.38
  4. Step 4: Simplify right side
    314,157.48x = 75,630,142,280.76
  5. Step 5: Solve for x
    x = 75,630,142,280.76/314,157.48
  6. Step 6: Final answer
    x = 240,739.59

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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.