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Finding the Fourth Proportional to 288,148.34, 432,374.79 and 204,449.42

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Solution

The fourth proportional to 288,148.34, 432,374.79 and 204,449.42 is: 306,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,148.34 : 432,374.79 = 204,449.42 : x
  2. Step 2: Convert to fraction form
    288,148.34/432,374.79 = 204,449.42/x
  3. Step 3: Cross multiply
    288,148.34x = 432,374.79 × 204,449.42
  4. Step 4: Simplify right side
    288,148.34x = 88,398,775,038.12
  5. Step 5: Solve for x
    x = 88,398,775,038.12/288,148.34
  6. Step 6: Final answer
    x = 306,782.18

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1.5x scale

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.