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Finding the Fourth Proportional to 592,647.85, 817,856.10 and 320,715.68

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Solution

The fourth proportional to 592,647.85, 817,856.10 and 320,715.68 is: 442,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,647.85 : 817,856.10 = 320,715.68 : x
  2. Step 2: Convert to fraction form
    592,647.85/817,856.10 = 320,715.68/x
  3. Step 3: Cross multiply
    592,647.85x = 817,856.10 × 320,715.68
  4. Step 4: Simplify right side
    592,647.85x = 262,299,273,915.59
  5. Step 5: Solve for x
    x = 262,299,273,915.59/592,647.85
  6. Step 6: Final answer
    x = 442,588.75

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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.