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Finding the Fourth Proportional to 716,649.88, 989,017.66 and 410,777.13

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Solution

The fourth proportional to 716,649.88, 989,017.66 and 410,777.13 is: 566,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,649.88 : 989,017.66 = 410,777.13 : x
  2. Step 2: Convert to fraction form
    716,649.88/989,017.66 = 410,777.13/x
  3. Step 3: Cross multiply
    716,649.88x = 989,017.66 × 410,777.13
  4. Step 4: Simplify right side
    716,649.88x = 406,265,835,894.12
  5. Step 5: Solve for x
    x = 406,265,835,894.12/716,649.88
  6. Step 6: Final answer
    x = 566,895.84

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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.