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Finding the Fourth Proportional to 647,570.20, 972,230.10 and 411,374.20

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Solution

The fourth proportional to 647,570.20, 972,230.10 and 411,374.20 is: 617,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,570.20 : 972,230.10 = 411,374.20 : x
  2. Step 2: Convert to fraction form
    647,570.20/972,230.10 = 411,374.20/x
  3. Step 3: Cross multiply
    647,570.20x = 972,230.10 × 411,374.20
  4. Step 4: Simplify right side
    647,570.20x = 399,950,379,603.42
  5. Step 5: Solve for x
    x = 399,950,379,603.42/647,570.20
  6. Step 6: Final answer
    x = 617,617.02

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1.5x scale

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.