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Finding the Fourth Proportional to 382,892.16, 575,387.52 and 361,153.28

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Solution

The fourth proportional to 382,892.16, 575,387.52 and 361,153.28 is: 542,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,892.16 : 575,387.52 = 361,153.28 : x
  2. Step 2: Convert to fraction form
    382,892.16/575,387.52 = 361,153.28/x
  3. Step 3: Cross multiply
    382,892.16x = 575,387.52 × 361,153.28
  4. Step 4: Simplify right side
    382,892.16x = 207,803,090,119.07
  5. Step 5: Solve for x
    x = 207,803,090,119.07/382,892.16
  6. Step 6: Final answer
    x = 542,719.63

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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.