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Finding the Fourth Proportional to 474,532.07, 654,854.24 and 259,672.16

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Solution

The fourth proportional to 474,532.07, 654,854.24 and 259,672.16 is: 358,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,532.07 : 654,854.24 = 259,672.16 : x
  2. Step 2: Convert to fraction form
    474,532.07/654,854.24 = 259,672.16/x
  3. Step 3: Cross multiply
    474,532.07x = 654,854.24 × 259,672.16
  4. Step 4: Simplify right side
    474,532.07x = 170,047,410,413.33
  5. Step 5: Solve for x
    x = 170,047,410,413.33/474,532.07
  6. Step 6: Final answer
    x = 358,347.57

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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.