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Finding the Fourth Proportional to 510,585.41, 704,702.34 and 295,725.41

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Solution

The fourth proportional to 510,585.41, 704,702.34 and 295,725.41 is: 408,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,585.41 : 704,702.34 = 295,725.41 : x
  2. Step 2: Convert to fraction form
    510,585.41/704,702.34 = 295,725.41/x
  3. Step 3: Cross multiply
    510,585.41x = 704,702.34 × 295,725.41
  4. Step 4: Simplify right side
    510,585.41x = 208,398,388,424.46
  5. Step 5: Solve for x
    x = 208,398,388,424.46/510,585.41
  6. Step 6: Final answer
    x = 408,155.78

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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.