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Finding the Fourth Proportional to 772,878.24, 1,066,470.48 and 428,710.32

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Solution

The fourth proportional to 772,878.24, 1,066,470.48 and 428,710.32 is: 591,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,878.24 : 1,066,470.48 = 428,710.32 : x
  2. Step 2: Convert to fraction form
    772,878.24/1,066,470.48 = 428,710.32/x
  3. Step 3: Cross multiply
    772,878.24x = 1,066,470.48 × 428,710.32
  4. Step 4: Simplify right side
    772,878.24x = 457,206,900,751.35
  5. Step 5: Solve for x
    x = 457,206,900,751.35/772,878.24
  6. Step 6: Final answer
    x = 591,563.95

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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.