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Finding the Fourth Proportional to 716,958.95, 989,415.81 and 411,085.13

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Solution

The fourth proportional to 716,958.95, 989,415.81 and 411,085.13 is: 567,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,958.95 : 989,415.81 = 411,085.13 : x
  2. Step 2: Convert to fraction form
    716,958.95/989,415.81 = 411,085.13/x
  3. Step 3: Cross multiply
    716,958.95x = 989,415.81 × 411,085.13
  4. Step 4: Simplify right side
    716,958.95x = 406,734,121,930.83
  5. Step 5: Solve for x
    x = 406,734,121,930.83/716,958.95
  6. Step 6: Final answer
    x = 567,304.62

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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.