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Finding the Fourth Proportional to 317,271.66, 475,987.68 and 146,411.07

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Solution

The fourth proportional to 317,271.66, 475,987.68 and 146,411.07 is: 219,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,271.66 : 475,987.68 = 146,411.07 : x
  2. Step 2: Convert to fraction form
    317,271.66/475,987.68 = 146,411.07/x
  3. Step 3: Cross multiply
    317,271.66x = 475,987.68 × 146,411.07
  4. Step 4: Simplify right side
    317,271.66x = 69,689,865,535.62
  5. Step 5: Solve for x
    x = 69,689,865,535.62/317,271.66
  6. Step 6: Final answer
    x = 219,653.61

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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.