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Finding the Fourth Proportional to 295,275.10, 442,912.65 and 283,611.10

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Solution

The fourth proportional to 295,275.10, 442,912.65 and 283,611.10 is: 425,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,275.10 : 442,912.65 = 283,611.10 : x
  2. Step 2: Convert to fraction form
    295,275.10/442,912.65 = 283,611.10/x
  3. Step 3: Cross multiply
    295,275.10x = 442,912.65 × 283,611.10
  4. Step 4: Simplify right side
    295,275.10x = 125,614,943,870.42
  5. Step 5: Solve for x
    x = 125,614,943,870.42/295,275.10
  6. Step 6: Final answer
    x = 425,416.65

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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.