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Finding the Fourth Proportional to 600,083.04, 828,114.80 and 341,952.56

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Solution

The fourth proportional to 600,083.04, 828,114.80 and 341,952.56 is: 471,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,083.04 : 828,114.80 = 341,952.56 : x
  2. Step 2: Convert to fraction form
    600,083.04/828,114.80 = 341,952.56/x
  3. Step 3: Cross multiply
    600,083.04x = 828,114.80 × 341,952.56
  4. Step 4: Simplify right side
    600,083.04x = 283,175,975,833.89
  5. Step 5: Solve for x
    x = 283,175,975,833.89/600,083.04
  6. Step 6: Final answer
    x = 471,894.65

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Why These Related Problems?

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