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Finding the Fourth Proportional to 649,838.10, 973,007.55 and 649,838.10

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Solution

The fourth proportional to 649,838.10, 973,007.55 and 649,838.10 is: 973,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,838.10 : 973,007.55 = 649,838.10 : x
  2. Step 2: Convert to fraction form
    649,838.10/973,007.55 = 649,838.10/x
  3. Step 3: Cross multiply
    649,838.10x = 973,007.55 × 649,838.10
  4. Step 4: Simplify right side
    649,838.10x = 632,297,377,577.66
  5. Step 5: Solve for x
    x = 632,297,377,577.66/649,838.10
  6. Step 6: Final answer
    x = 973,007.55

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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.