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Finding the Fourth Proportional to 551,051.48, 825,787.86 and 313,904.52

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Solution

The fourth proportional to 551,051.48, 825,787.86 and 313,904.52 is: 470,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,051.48 : 825,787.86 = 313,904.52 : x
  2. Step 2: Convert to fraction form
    551,051.48/825,787.86 = 313,904.52/x
  3. Step 3: Cross multiply
    551,051.48x = 825,787.86 × 313,904.52
  4. Step 4: Simplify right side
    551,051.48x = 259,218,541,815.13
  5. Step 5: Solve for x
    x = 259,218,541,815.13/551,051.48
  6. Step 6: Final answer
    x = 470,407.12

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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.