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Finding the Fourth Proportional to 765,048.12, 1,055,751.71 and 420,863.93

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Solution

The fourth proportional to 765,048.12, 1,055,751.71 and 420,863.93 is: 580,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,048.12 : 1,055,751.71 = 420,863.93 : x
  2. Step 2: Convert to fraction form
    765,048.12/1,055,751.71 = 420,863.93/x
  3. Step 3: Cross multiply
    765,048.12x = 1,055,751.71 × 420,863.93
  4. Step 4: Simplify right side
    765,048.12x = 444,327,806,391.74
  5. Step 5: Solve for x
    x = 444,327,806,391.74/765,048.12
  6. Step 6: Final answer
    x = 580,784.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.