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Finding the Fourth Proportional to 647,565.70, 972,223.35 and 411,369.70

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Solution

The fourth proportional to 647,565.70, 972,223.35 and 411,369.70 is: 617,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,565.70 : 972,223.35 = 411,369.70 : x
  2. Step 2: Convert to fraction form
    647,565.70/972,223.35 = 411,369.70/x
  3. Step 3: Cross multiply
    647,565.70x = 972,223.35 × 411,369.70
  4. Step 4: Simplify right side
    647,565.70x = 399,943,227,822.50
  5. Step 5: Solve for x
    x = 399,943,227,822.50/647,565.70
  6. Step 6: Final answer
    x = 617,610.27

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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.