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Finding the Fourth Proportional to 472,566.80, 707,683.80 and 313,936.40

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Solution

The fourth proportional to 472,566.80, 707,683.80 and 313,936.40 is: 470,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566.80 : 707,683.80 = 313,936.40 : x
  2. Step 2: Convert to fraction form
    472,566.80/707,683.80 = 313,936.40/x
  3. Step 3: Cross multiply
    472,566.80x = 707,683.80 × 313,936.40
  4. Step 4: Simplify right side
    472,566.80x = 222,167,704,510.32
  5. Step 5: Solve for x
    x = 222,167,704,510.32/472,566.80
  6. Step 6: Final answer
    x = 470,129.74

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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.