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Finding the Fourth Proportional to 414,381.07, 621,510.10 and 114,830.42

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Solution

The fourth proportional to 414,381.07, 621,510.10 and 114,830.42 is: 172,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,381.07 : 621,510.10 = 114,830.42 : x
  2. Step 2: Convert to fraction form
    414,381.07/621,510.10 = 114,830.42/x
  3. Step 3: Cross multiply
    414,381.07x = 621,510.10 × 114,830.42
  4. Step 4: Simplify right side
    414,381.07x = 71,368,264,170.61
  5. Step 5: Solve for x
    x = 71,368,264,170.61/414,381.07
  6. Step 6: Final answer
    x = 172,228.58

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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.