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Finding the Fourth Proportional to 551,637.40, 828,233.70 and 341,685.40

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Solution

The fourth proportional to 551,637.40, 828,233.70 and 341,685.40 is: 513,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,637.40 : 828,233.70 = 341,685.40 : x
  2. Step 2: Convert to fraction form
    551,637.40/828,233.70 = 341,685.40/x
  3. Step 3: Cross multiply
    551,637.40x = 828,233.70 × 341,685.40
  4. Step 4: Simplify right side
    551,637.40x = 282,995,363,077.98
  5. Step 5: Solve for x
    x = 282,995,363,077.98/551,637.40
  6. Step 6: Final answer
    x = 513,009.75

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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.