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Finding the Fourth Proportional to 456,806.25, 685,218.78 and 141,263.06

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Solution

The fourth proportional to 456,806.25, 685,218.78 and 141,263.06 is: 211,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,806.25 : 685,218.78 = 141,263.06 : x
  2. Step 2: Convert to fraction form
    456,806.25/685,218.78 = 141,263.06/x
  3. Step 3: Cross multiply
    456,806.25x = 685,218.78 × 141,263.06
  4. Step 4: Simplify right side
    456,806.25x = 96,796,098,206.17
  5. Step 5: Solve for x
    x = 96,796,098,206.17/456,806.25
  6. Step 6: Final answer
    x = 211,897.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.