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Finding the Fourth Proportional to 648,497.10, 973,912.05 and 471,204.30

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Solution

The fourth proportional to 648,497.10, 973,912.05 and 471,204.30 is: 707,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,497.10 : 973,912.05 = 471,204.30 : x
  2. Step 2: Convert to fraction form
    648,497.10/973,912.05 = 471,204.30/x
  3. Step 3: Cross multiply
    648,497.10x = 973,912.05 × 471,204.30
  4. Step 4: Simplify right side
    648,497.10x = 458,911,545,781.82
  5. Step 5: Solve for x
    x = 458,911,545,781.82/648,497.10
  6. Step 6: Final answer
    x = 707,653.97

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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.