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Finding the Fourth Proportional to 469,390, 704,126.28 and 132,433.24

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Solution

The fourth proportional to 469,390, 704,126.28 and 132,433.24 is: 198,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,390 : 704,126.28 = 132,433.24 : x
  2. Step 2: Convert to fraction form
    469,390/704,126.28 = 132,433.24/x
  3. Step 3: Cross multiply
    469,390x = 704,126.28 × 132,433.24
  4. Step 4: Simplify right side
    469,390x = 93,249,724,629.55
  5. Step 5: Solve for x
    x = 93,249,724,629.55/469,390
  6. Step 6: Final answer
    x = 198,661.51

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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.