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Finding the Fourth Proportional to 717,356.80, 989,914.44 and 411,417.37

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Solution

The fourth proportional to 717,356.80, 989,914.44 and 411,417.37 is: 567,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,356.80 : 989,914.44 = 411,417.37 : x
  2. Step 2: Convert to fraction form
    717,356.80/989,914.44 = 411,417.37/x
  3. Step 3: Cross multiply
    717,356.80x = 989,914.44 × 411,417.37
  4. Step 4: Simplify right side
    717,356.80x = 407,267,995,429.82
  5. Step 5: Solve for x
    x = 407,267,995,429.82/717,356.80
  6. Step 6: Final answer
    x = 567,734.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.