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Finding the Fourth Proportional to 357,719.60, 535,801.80 and 217,233.20

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Solution

The fourth proportional to 357,719.60, 535,801.80 and 217,233.20 is: 325,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,719.60 : 535,801.80 = 217,233.20 : x
  2. Step 2: Convert to fraction form
    357,719.60/535,801.80 = 217,233.20/x
  3. Step 3: Cross multiply
    357,719.60x = 535,801.80 × 217,233.20
  4. Step 4: Simplify right side
    357,719.60x = 116,393,939,579.76
  5. Step 5: Solve for x
    x = 116,393,939,579.76/357,719.60
  6. Step 6: Final answer
    x = 325,377.59

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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.