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Finding the Fourth Proportional to 383,892.90, 575,008.29 and 278,479.50

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Solution

The fourth proportional to 383,892.90, 575,008.29 and 278,479.50 is: 417,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,892.90 : 575,008.29 = 278,479.50 : x
  2. Step 2: Convert to fraction form
    383,892.90/575,008.29 = 278,479.50/x
  3. Step 3: Cross multiply
    383,892.90x = 575,008.29 × 278,479.50
  4. Step 4: Simplify right side
    383,892.90x = 160,128,021,095.06
  5. Step 5: Solve for x
    x = 160,128,021,095.06/383,892.90
  6. Step 6: Final answer
    x = 417,116.39

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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.