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Finding the Fourth Proportional to 268,271.10, 402,406.65 and 268,271.10

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Solution

The fourth proportional to 268,271.10, 402,406.65 and 268,271.10 is: 402,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,271.10 : 402,406.65 = 268,271.10 : x
  2. Step 2: Convert to fraction form
    268,271.10/402,406.65 = 268,271.10/x
  3. Step 3: Cross multiply
    268,271.10x = 402,406.65 × 268,271.10
  4. Step 4: Simplify right side
    268,271.10x = 107,954,074,642.82
  5. Step 5: Solve for x
    x = 107,954,074,642.82/268,271.10
  6. Step 6: Final answer
    x = 402,406.65

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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.