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Finding the Fourth Proportional to 472,438.04, 708,423.42 and 206,083.40

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Solution

The fourth proportional to 472,438.04, 708,423.42 and 206,083.40 is: 309,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,438.04 : 708,423.42 = 206,083.40 : x
  2. Step 2: Convert to fraction form
    472,438.04/708,423.42 = 206,083.40/x
  3. Step 3: Cross multiply
    472,438.04x = 708,423.42 × 206,083.40
  4. Step 4: Simplify right side
    472,438.04x = 145,994,307,033.23
  5. Step 5: Solve for x
    x = 145,994,307,033.23/472,438.04
  6. Step 6: Final answer
    x = 309,023.18

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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.