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Finding the Fourth Proportional to 359,256.60, 538,107.30 and 233,285.40

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Solution

The fourth proportional to 359,256.60, 538,107.30 and 233,285.40 is: 349,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,256.60 : 538,107.30 = 233,285.40 : x
  2. Step 2: Convert to fraction form
    359,256.60/538,107.30 = 233,285.40/x
  3. Step 3: Cross multiply
    359,256.60x = 538,107.30 × 233,285.40
  4. Step 4: Simplify right side
    359,256.60x = 125,532,576,723.42
  5. Step 5: Solve for x
    x = 125,532,576,723.42/359,256.60
  6. Step 6: Final answer
    x = 349,423.16

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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.