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Finding the Fourth Proportional to 476,335.86, 657,319.00 and 282,751.73

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Solution

The fourth proportional to 476,335.86, 657,319.00 and 282,751.73 is: 390,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,335.86 : 657,319.00 = 282,751.73 : x
  2. Step 2: Convert to fraction form
    476,335.86/657,319.00 = 282,751.73/x
  3. Step 3: Cross multiply
    476,335.86x = 657,319.00 × 282,751.73
  4. Step 4: Simplify right side
    476,335.86x = 185,858,083,413.50
  5. Step 5: Solve for x
    x = 185,858,083,413.50/476,335.86
  6. Step 6: Final answer
    x = 390,182.85

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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.