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Finding the Fourth Proportional to 297,398.44, 445,864.38 and 147,533.32

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Solution

The fourth proportional to 297,398.44, 445,864.38 and 147,533.32 is: 221,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,398.44 : 445,864.38 = 147,533.32 : x
  2. Step 2: Convert to fraction form
    297,398.44/445,864.38 = 147,533.32/x
  3. Step 3: Cross multiply
    297,398.44x = 445,864.38 × 147,533.32
  4. Step 4: Simplify right side
    297,398.44x = 65,779,852,251.14
  5. Step 5: Solve for x
    x = 65,779,852,251.14/297,398.44
  6. Step 6: Final answer
    x = 221,184.25

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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.