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Finding the Fourth Proportional to 849,993.71, 1,172,999.14 and 468,034.16

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Solution

The fourth proportional to 849,993.71, 1,172,999.14 and 468,034.16 is: 645,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,993.71 : 1,172,999.14 = 468,034.16 : x
  2. Step 2: Convert to fraction form
    849,993.71/1,172,999.14 = 468,034.16/x
  3. Step 3: Cross multiply
    849,993.71x = 1,172,999.14 × 468,034.16
  4. Step 4: Simplify right side
    849,993.71x = 549,003,660,135.54
  5. Step 5: Solve for x
    x = 549,003,660,135.54/849,993.71
  6. Step 6: Final answer
    x = 645,891.44

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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.