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Finding the Fourth Proportional to 257,097.60, 385,646.40 and 217,828.80

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Solution

The fourth proportional to 257,097.60, 385,646.40 and 217,828.80 is: 326,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.60 : 385,646.40 = 217,828.80 : x
  2. Step 2: Convert to fraction form
    257,097.60/385,646.40 = 217,828.80/x
  3. Step 3: Cross multiply
    257,097.60x = 385,646.40 × 217,828.80
  4. Step 4: Simplify right side
    257,097.60x = 84,004,892,536.32
  5. Step 5: Solve for x
    x = 84,004,892,536.32/257,097.60
  6. Step 6: Final answer
    x = 326,743.20

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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.