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Finding the Fourth Proportional to 768,186.93, 1,060,522.57 and 462,338.40

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Solution

The fourth proportional to 768,186.93, 1,060,522.57 and 462,338.40 is: 638,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,186.93 : 1,060,522.57 = 462,338.40 : x
  2. Step 2: Convert to fraction form
    768,186.93/1,060,522.57 = 462,338.40/x
  3. Step 3: Cross multiply
    768,186.93x = 1,060,522.57 × 462,338.40
  4. Step 4: Simplify right side
    768,186.93x = 490,320,308,177.69
  5. Step 5: Solve for x
    x = 490,320,308,177.69/768,186.93
  6. Step 6: Final answer
    x = 638,282.54

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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.