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Finding the Fourth Proportional to 295,440.87, 407,702.86 and 180,711.08

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Solution

The fourth proportional to 295,440.87, 407,702.86 and 180,711.08 is: 249,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,440.87 : 407,702.86 = 180,711.08 : x
  2. Step 2: Convert to fraction form
    295,440.87/407,702.86 = 180,711.08/x
  3. Step 3: Cross multiply
    295,440.87x = 407,702.86 × 180,711.08
  4. Step 4: Simplify right side
    295,440.87x = 73,676,424,149.69
  5. Step 5: Solve for x
    x = 73,676,424,149.69/295,440.87
  6. Step 6: Final answer
    x = 249,377.90

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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.