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Finding the Fourth Proportional to 387,224.19, 534,154.23 and 359,824.14

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Solution

The fourth proportional to 387,224.19, 534,154.23 and 359,824.14 is: 496,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,224.19 : 534,154.23 = 359,824.14 : x
  2. Step 2: Convert to fraction form
    387,224.19/534,154.23 = 359,824.14/x
  3. Step 3: Cross multiply
    387,224.19x = 534,154.23 × 359,824.14
  4. Step 4: Simplify right side
    387,224.19x = 192,201,586,437.11
  5. Step 5: Solve for x
    x = 192,201,586,437.11/387,224.19
  6. Step 6: Final answer
    x = 496,357.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.