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Finding the Fourth Proportional to 359,261.88, 538,892.78 and 201,502.64

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Solution

The fourth proportional to 359,261.88, 538,892.78 and 201,502.64 is: 302,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,261.88 : 538,892.78 = 201,502.64 : x
  2. Step 2: Convert to fraction form
    359,261.88/538,892.78 = 201,502.64/x
  3. Step 3: Cross multiply
    359,261.88x = 538,892.78 × 201,502.64
  4. Step 4: Simplify right side
    359,261.88x = 108,588,315,152.48
  5. Step 5: Solve for x
    x = 108,588,315,152.48/359,261.88
  6. Step 6: Final answer
    x = 302,253.93

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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.