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Finding the Fourth Proportional to 353,287.58, 487,549.67 and 202,413.74

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Solution

The fourth proportional to 353,287.58, 487,549.67 and 202,413.74 is: 279,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,287.58 : 487,549.67 = 202,413.74 : x
  2. Step 2: Convert to fraction form
    353,287.58/487,549.67 = 202,413.74/x
  3. Step 3: Cross multiply
    353,287.58x = 487,549.67 × 202,413.74
  4. Step 4: Simplify right side
    353,287.58x = 98,686,748,690.65
  5. Step 5: Solve for x
    x = 98,686,748,690.65/353,287.58
  6. Step 6: Final answer
    x = 279,338.29

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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.