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Finding the Fourth Proportional to 716,960.45, 989,417.88 and 411,086.63

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Solution

The fourth proportional to 716,960.45, 989,417.88 and 411,086.63 is: 567,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,960.45 : 989,417.88 = 411,086.63 : x
  2. Step 2: Convert to fraction form
    716,960.45/989,417.88 = 411,086.63/x
  3. Step 3: Cross multiply
    716,960.45x = 989,417.88 × 411,086.63
  4. Step 4: Simplify right side
    716,960.45x = 406,736,457,003.86
  5. Step 5: Solve for x
    x = 406,736,457,003.86/716,960.45
  6. Step 6: Final answer
    x = 567,306.69

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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.