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Finding the Fourth Proportional to 279,938.90, 419,908.35 and 153,530.30

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Solution

The fourth proportional to 279,938.90, 419,908.35 and 153,530.30 is: 230,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938.90 : 419,908.35 = 153,530.30 : x
  2. Step 2: Convert to fraction form
    279,938.90/419,908.35 = 153,530.30/x
  3. Step 3: Cross multiply
    279,938.90x = 419,908.35 × 153,530.30
  4. Step 4: Simplify right side
    279,938.90x = 64,468,654,948.01
  5. Step 5: Solve for x
    x = 64,468,654,948.01/279,938.90
  6. Step 6: Final answer
    x = 230,295.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.