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Finding the Fourth Proportional to 592,900, 889,442.16 and 199,008.16

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Solution

The fourth proportional to 592,900, 889,442.16 and 199,008.16 is: 298,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,900 : 889,442.16 = 199,008.16 : x
  2. Step 2: Convert to fraction form
    592,900/889,442.16 = 199,008.16/x
  3. Step 3: Cross multiply
    592,900x = 889,442.16 × 199,008.16
  4. Step 4: Simplify right side
    592,900x = 177,006,247,688.03
  5. Step 5: Solve for x
    x = 177,006,247,688.03/592,900
  6. Step 6: Final answer
    x = 298,543.17

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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.