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Finding the Fourth Proportional to 462,497.83, 693,194.52 and 237,965.83

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Solution

The fourth proportional to 462,497.83, 693,194.52 and 237,965.83 is: 356,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,497.83 : 693,194.52 = 237,965.83 : x
  2. Step 2: Convert to fraction form
    462,497.83/693,194.52 = 237,965.83/x
  3. Step 3: Cross multiply
    462,497.83x = 693,194.52 × 237,965.83
  4. Step 4: Simplify right side
    462,497.83x = 164,956,609,303.25
  5. Step 5: Solve for x
    x = 164,956,609,303.25/462,497.83
  6. Step 6: Final answer
    x = 356,664.61

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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.