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Finding the Fourth Proportional to 750,651.92, 1,035,642.30 and 428,130.08

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Solution

The fourth proportional to 750,651.92, 1,035,642.30 and 428,130.08 is: 590,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,651.92 : 1,035,642.30 = 428,130.08 : x
  2. Step 2: Convert to fraction form
    750,651.92/1,035,642.30 = 428,130.08/x
  3. Step 3: Cross multiply
    750,651.92x = 1,035,642.30 × 428,130.08
  4. Step 4: Simplify right side
    750,651.92x = 443,389,620,750.38
  5. Step 5: Solve for x
    x = 443,389,620,750.38/750,651.92
  6. Step 6: Final answer
    x = 590,672.73

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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.