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Finding the Fourth Proportional to 852,805.14, 1,176,867.82 and 470,829.12

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Solution

The fourth proportional to 852,805.14, 1,176,867.82 and 470,829.12 is: 649,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,805.14 : 1,176,867.82 = 470,829.12 : x
  2. Step 2: Convert to fraction form
    852,805.14/1,176,867.82 = 470,829.12/x
  3. Step 3: Cross multiply
    852,805.14x = 1,176,867.82 × 470,829.12
  4. Step 4: Simplify right side
    852,805.14x = 554,103,640,046.92
  5. Step 5: Solve for x
    x = 554,103,640,046.92/852,805.14
  6. Step 6: Final answer
    x = 649,742.38

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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.