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Finding the Fourth Proportional to 592,690.73, 817,914.19 and 320,758.86

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Solution

The fourth proportional to 592,690.73, 817,914.19 and 320,758.86 is: 442,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,690.73 : 817,914.19 = 320,758.86 : x
  2. Step 2: Convert to fraction form
    592,690.73/817,914.19 = 320,758.86/x
  3. Step 3: Cross multiply
    592,690.73x = 817,914.19 × 320,758.86
  4. Step 4: Simplify right side
    592,690.73x = 262,353,225,081.75
  5. Step 5: Solve for x
    x = 262,353,225,081.75/592,690.73
  6. Step 6: Final answer
    x = 442,647.77

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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.