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Finding the Fourth Proportional to 314,089.76, 433,455.36 and 174,392.30

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Solution

The fourth proportional to 314,089.76, 433,455.36 and 174,392.30 is: 240,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,089.76 : 433,455.36 = 174,392.30 : x
  2. Step 2: Convert to fraction form
    314,089.76/433,455.36 = 174,392.30/x
  3. Step 3: Cross multiply
    314,089.76x = 433,455.36 × 174,392.30
  4. Step 4: Simplify right side
    314,089.76x = 75,591,277,177.73
  5. Step 5: Solve for x
    x = 75,591,277,177.73/314,089.76
  6. Step 6: Final answer
    x = 240,667.75

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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.