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Finding the Fourth Proportional to 441,590.46, 662,470.74 and 142,146.42

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Solution

The fourth proportional to 441,590.46, 662,470.74 and 142,146.42 is: 213,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,590.46 : 662,470.74 = 142,146.42 : x
  2. Step 2: Convert to fraction form
    441,590.46/662,470.74 = 142,146.42/x
  3. Step 3: Cross multiply
    441,590.46x = 662,470.74 × 142,146.42
  4. Step 4: Simplify right side
    441,590.46x = 94,167,844,045.75
  5. Step 5: Solve for x
    x = 94,167,844,045.75/441,590.46
  6. Step 6: Final answer
    x = 213,247.01

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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.