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Finding the Fourth Proportional to 498,205, 687,833.94 and 319,668.04

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Solution

The fourth proportional to 498,205, 687,833.94 and 319,668.04 is: 441,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,205 : 687,833.94 = 319,668.04 : x
  2. Step 2: Convert to fraction form
    498,205/687,833.94 = 319,668.04/x
  3. Step 3: Cross multiply
    498,205x = 687,833.94 × 319,668.04
  4. Step 4: Simplify right side
    498,205x = 219,878,527,445.28
  5. Step 5: Solve for x
    x = 219,878,527,445.28/498,205
  6. Step 6: Final answer
    x = 441,341.47

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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.