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Finding the Fourth Proportional to 347,984.42, 480,210.50 and 202,780.95

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Solution

The fourth proportional to 347,984.42, 480,210.50 and 202,780.95 is: 279,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,984.42 : 480,210.50 = 202,780.95 : x
  2. Step 2: Convert to fraction form
    347,984.42/480,210.50 = 202,780.95/x
  3. Step 3: Cross multiply
    347,984.42x = 480,210.50 × 202,780.95
  4. Step 4: Simplify right side
    347,984.42x = 97,377,540,376.07
  5. Step 5: Solve for x
    x = 97,377,540,376.07/347,984.42
  6. Step 6: Final answer
    x = 279,833.05

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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.