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Finding the Fourth Proportional to 345,818, 477,622.50 and 232,443.92

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Solution

The fourth proportional to 345,818, 477,622.50 and 232,443.92 is: 321,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,818 : 477,622.50 = 232,443.92 : x
  2. Step 2: Convert to fraction form
    345,818/477,622.50 = 232,443.92/x
  3. Step 3: Cross multiply
    345,818x = 477,622.50 × 232,443.92
  4. Step 4: Simplify right side
    345,818x = 111,020,446,180.20
  5. Step 5: Solve for x
    x = 111,020,446,180.20/345,818
  6. Step 6: Final answer
    x = 321,037.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.