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Finding the Fourth Proportional to 475,813.48, 656,631 and 260,951.66

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Solution

The fourth proportional to 475,813.48, 656,631 and 260,951.66 is: 360,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,813.48 : 656,631 = 260,951.66 : x
  2. Step 2: Convert to fraction form
    475,813.48/656,631 = 260,951.66/x
  3. Step 3: Cross multiply
    475,813.48x = 656,631 × 260,951.66
  4. Step 4: Simplify right side
    475,813.48x = 171,348,949,457.46
  5. Step 5: Solve for x
    x = 171,348,949,457.46/475,813.48
  6. Step 6: Final answer
    x = 360,117.90

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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.