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Finding the Fourth Proportional to 773,074.13, 1,066,842.90 and 433,542.38

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Solution

The fourth proportional to 773,074.13, 1,066,842.90 and 433,542.38 is: 598,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,074.13 : 1,066,842.90 = 433,542.38 : x
  2. Step 2: Convert to fraction form
    773,074.13/1,066,842.90 = 433,542.38/x
  3. Step 3: Cross multiply
    773,074.13x = 1,066,842.90 × 433,542.38
  4. Step 4: Simplify right side
    773,074.13x = 462,521,604,617.89
  5. Step 5: Solve for x
    x = 462,521,604,617.89/773,074.13
  6. Step 6: Final answer
    x = 598,288.82

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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.