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Finding the Fourth Proportional to 359,313.34, 538,378.89 and 284,911.42

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Solution

The fourth proportional to 359,313.34, 538,378.89 and 284,911.42 is: 426,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,313.34 : 538,378.89 = 284,911.42 : x
  2. Step 2: Convert to fraction form
    359,313.34/538,378.89 = 284,911.42/x
  3. Step 3: Cross multiply
    359,313.34x = 538,378.89 × 284,911.42
  4. Step 4: Simplify right side
    359,313.34x = 153,390,294,047.92
  5. Step 5: Solve for x
    x = 153,390,294,047.92/359,313.34
  6. Step 6: Final answer
    x = 426,898.41

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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.