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Finding the Fourth Proportional to 843,085.76, 1,163,388.12 and 475,542.65

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Solution

The fourth proportional to 843,085.76, 1,163,388.12 and 475,542.65 is: 656,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,085.76 : 1,163,388.12 = 475,542.65 : x
  2. Step 2: Convert to fraction form
    843,085.76/1,163,388.12 = 475,542.65/x
  3. Step 3: Cross multiply
    843,085.76x = 1,163,388.12 × 475,542.65
  4. Step 4: Simplify right side
    843,085.76x = 553,240,663,746.38
  5. Step 5: Solve for x
    x = 553,240,663,746.38/843,085.76
  6. Step 6: Final answer
    x = 656,209.24

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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.