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Finding the Fourth Proportional to 380,514.66, 525,114.09 and 229,582.50

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Solution

The fourth proportional to 380,514.66, 525,114.09 and 229,582.50 is: 316,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.66 : 525,114.09 = 229,582.50 : x
  2. Step 2: Convert to fraction form
    380,514.66/525,114.09 = 229,582.50/x
  3. Step 3: Cross multiply
    380,514.66x = 525,114.09 × 229,582.50
  4. Step 4: Simplify right side
    380,514.66x = 120,557,005,567.43
  5. Step 5: Solve for x
    x = 120,557,005,567.43/380,514.66
  6. Step 6: Final answer
    x = 316,826.18

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