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Finding the Fourth Proportional to 314,059.89, 433,363.30 and 212,306.74

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Solution

The fourth proportional to 314,059.89, 433,363.30 and 212,306.74 is: 292,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059.89 : 433,363.30 = 212,306.74 : x
  2. Step 2: Convert to fraction form
    314,059.89/433,363.30 = 212,306.74/x
  3. Step 3: Cross multiply
    314,059.89x = 433,363.30 × 212,306.74
  4. Step 4: Simplify right side
    314,059.89x = 92,005,949,458.64
  5. Step 5: Solve for x
    x = 92,005,949,458.64/314,059.89
  6. Step 6: Final answer
    x = 292,956.70

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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.