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Finding the Fourth Proportional to 589,643.88, 880,175.73 and 514,994.28

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Solution

The fourth proportional to 589,643.88, 880,175.73 and 514,994.28 is: 768,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,643.88 : 880,175.73 = 514,994.28 : x
  2. Step 2: Convert to fraction form
    589,643.88/880,175.73 = 514,994.28/x
  3. Step 3: Cross multiply
    589,643.88x = 880,175.73 × 514,994.28
  4. Step 4: Simplify right side
    589,643.88x = 453,285,466,344.82
  5. Step 5: Solve for x
    x = 453,285,466,344.82/589,643.88
  6. Step 6: Final answer
    x = 768,744.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.