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Finding the Fourth Proportional to 600,097.68, 828,221.76 and 345,446.64

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Solution

The fourth proportional to 600,097.68, 828,221.76 and 345,446.64 is: 476,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,097.68 : 828,221.76 = 345,446.64 : x
  2. Step 2: Convert to fraction form
    600,097.68/828,221.76 = 345,446.64/x
  3. Step 3: Cross multiply
    600,097.68x = 828,221.76 × 345,446.64
  4. Step 4: Simplify right side
    600,097.68x = 286,106,424,166.89
  5. Step 5: Solve for x
    x = 286,106,424,166.89/600,097.68
  6. Step 6: Final answer
    x = 476,766.42

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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.