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Finding the Fourth Proportional to 589,967.20, 885,411.60 and 274,463.20

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Solution

The fourth proportional to 589,967.20, 885,411.60 and 274,463.20 is: 411,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,967.20 : 885,411.60 = 274,463.20 : x
  2. Step 2: Convert to fraction form
    589,967.20/885,411.60 = 274,463.20/x
  3. Step 3: Cross multiply
    589,967.20x = 885,411.60 × 274,463.20
  4. Step 4: Simplify right side
    589,967.20x = 243,012,901,053.12
  5. Step 5: Solve for x
    x = 243,012,901,053.12/589,967.20
  6. Step 6: Final answer
    x = 411,909.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.