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Finding the Fourth Proportional to 513,454.95, 708,594.73 and 295,696.68

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Solution

The fourth proportional to 513,454.95, 708,594.73 and 295,696.68 is: 408,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,454.95 : 708,594.73 = 295,696.68 : x
  2. Step 2: Convert to fraction form
    513,454.95/708,594.73 = 295,696.68/x
  3. Step 3: Cross multiply
    513,454.95x = 708,594.73 × 295,696.68
  4. Step 4: Simplify right side
    513,454.95x = 209,529,107,393.32
  5. Step 5: Solve for x
    x = 209,529,107,393.32/513,454.95
  6. Step 6: Final answer
    x = 408,076.91

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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.