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Finding the Fourth Proportional to 768,140.38, 1,060,032.90 and 428,608.63

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Solution

The fourth proportional to 768,140.38, 1,060,032.90 and 428,608.63 is: 591,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,140.38 : 1,060,032.90 = 428,608.63 : x
  2. Step 2: Convert to fraction form
    768,140.38/1,060,032.90 = 428,608.63/x
  3. Step 3: Cross multiply
    768,140.38x = 1,060,032.90 × 428,608.63
  4. Step 4: Simplify right side
    768,140.38x = 454,339,249,023.93
  5. Step 5: Solve for x
    x = 454,339,249,023.93/768,140.38
  6. Step 6: Final answer
    x = 591,479.45

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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.