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Finding the Fourth Proportional to 462,909.44, 638,784.87 and 258,924.98

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Solution

The fourth proportional to 462,909.44, 638,784.87 and 258,924.98 is: 357,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,909.44 : 638,784.87 = 258,924.98 : x
  2. Step 2: Convert to fraction form
    462,909.44/638,784.87 = 258,924.98/x
  3. Step 3: Cross multiply
    462,909.44x = 638,784.87 × 258,924.98
  4. Step 4: Simplify right side
    462,909.44x = 165,397,359,689.05
  5. Step 5: Solve for x
    x = 165,397,359,689.05/462,909.44
  6. Step 6: Final answer
    x = 357,299.60

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1.5x scale

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.