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Finding the Fourth Proportional to 592,598.82, 889,097.74 and 187,857.12

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Solution

The fourth proportional to 592,598.82, 889,097.74 and 187,857.12 is: 281,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,598.82 : 889,097.74 = 187,857.12 : x
  2. Step 2: Convert to fraction form
    592,598.82/889,097.74 = 187,857.12/x
  3. Step 3: Cross multiply
    592,598.82x = 889,097.74 × 187,857.12
  4. Step 4: Simplify right side
    592,598.82x = 167,023,340,834.91
  5. Step 5: Solve for x
    x = 167,023,340,834.91/592,598.82
  6. Step 6: Final answer
    x = 281,848.93

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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.