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Finding the Fourth Proportional to 657,768.40, 987,113.40 and 421,685.20

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Solution

The fourth proportional to 657,768.40, 987,113.40 and 421,685.20 is: 632,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,768.40 : 987,113.40 = 421,685.20 : x
  2. Step 2: Convert to fraction form
    657,768.40/987,113.40 = 421,685.20/x
  3. Step 3: Cross multiply
    657,768.40x = 987,113.40 × 421,685.20
  4. Step 4: Simplify right side
    657,768.40x = 416,251,111,501.68
  5. Step 5: Solve for x
    x = 416,251,111,501.68/657,768.40
  6. Step 6: Final answer
    x = 632,823.21

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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.