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Finding the Fourth Proportional to 592,491.45, 817,409.87 and 411,112.60

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Solution

The fourth proportional to 592,491.45, 817,409.87 and 411,112.60 is: 567,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,491.45 : 817,409.87 = 411,112.60 : x
  2. Step 2: Convert to fraction form
    592,491.45/817,409.87 = 411,112.60/x
  3. Step 3: Cross multiply
    592,491.45x = 817,409.87 × 411,112.60
  4. Step 4: Simplify right side
    592,491.45x = 336,047,499,835.84
  5. Step 5: Solve for x
    x = 336,047,499,835.84/592,491.45
  6. Step 6: Final answer
    x = 567,176.96

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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.