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Finding the Fourth Proportional to 442,050.32, 663,074.88 and 205,263.52

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Solution

The fourth proportional to 442,050.32, 663,074.88 and 205,263.52 is: 307,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,050.32 : 663,074.88 = 205,263.52 : x
  2. Step 2: Convert to fraction form
    442,050.32/663,074.88 = 205,263.52/x
  3. Step 3: Cross multiply
    442,050.32x = 663,074.88 × 205,263.52
  4. Step 4: Simplify right side
    442,050.32x = 136,105,083,892.38
  5. Step 5: Solve for x
    x = 136,105,083,892.38/442,050.32
  6. Step 6: Final answer
    x = 307,895.00

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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.