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Finding the Fourth Proportional to 513,708.66, 708,993.16 and 295,875.47

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Solution

The fourth proportional to 513,708.66, 708,993.16 and 295,875.47 is: 408,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,708.66 : 708,993.16 = 295,875.47 : x
  2. Step 2: Convert to fraction form
    513,708.66/708,993.16 = 295,875.47/x
  3. Step 3: Cross multiply
    513,708.66x = 708,993.16 × 295,875.47
  4. Step 4: Simplify right side
    513,708.66x = 209,773,680,896.82
  5. Step 5: Solve for x
    x = 209,773,680,896.82/513,708.66
  6. Step 6: Final answer
    x = 408,351.46

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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.