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Finding the Fourth Proportional to 685,616.40, 946,203.12 and 395,275.14

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Solution

The fourth proportional to 685,616.40, 946,203.12 and 395,275.14 is: 545,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,616.40 : 946,203.12 = 395,275.14 : x
  2. Step 2: Convert to fraction form
    685,616.40/946,203.12 = 395,275.14/x
  3. Step 3: Cross multiply
    685,616.40x = 946,203.12 × 395,275.14
  4. Step 4: Simplify right side
    685,616.40x = 374,010,570,726.44
  5. Step 5: Solve for x
    x = 374,010,570,726.44/685,616.40
  6. Step 6: Final answer
    x = 545,509.95

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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.