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Finding the Fourth Proportional to 381,030.10, 532,742.30 and 381,030.10

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Solution

The fourth proportional to 381,030.10, 532,742.30 and 381,030.10 is: 532,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,030.10 : 532,742.30 = 381,030.10 : x
  2. Step 2: Convert to fraction form
    381,030.10/532,742.30 = 381,030.10/x
  3. Step 3: Cross multiply
    381,030.10x = 532,742.30 × 381,030.10
  4. Step 4: Simplify right side
    381,030.10x = 202,990,851,843.23
  5. Step 5: Solve for x
    x = 202,990,851,843.23/381,030.10
  6. Step 6: Final answer
    x = 532,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.