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Finding the Fourth Proportional to 551,954.68, 828,253.26 and 232,083.40

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Solution

The fourth proportional to 551,954.68, 828,253.26 and 232,083.40 is: 348,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,954.68 : 828,253.26 = 232,083.40 : x
  2. Step 2: Convert to fraction form
    551,954.68/828,253.26 = 232,083.40/x
  3. Step 3: Cross multiply
    551,954.68x = 828,253.26 × 232,083.40
  4. Step 4: Simplify right side
    551,954.68x = 192,223,832,641.88
  5. Step 5: Solve for x
    x = 192,223,832,641.88/551,954.68
  6. Step 6: Final answer
    x = 348,260.17

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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.