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Finding the Fourth Proportional to 585,261.87, 877,828.95 and 396,932.01

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Solution

The fourth proportional to 585,261.87, 877,828.95 and 396,932.01 is: 595,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,261.87 : 877,828.95 = 396,932.01 : x
  2. Step 2: Convert to fraction form
    585,261.87/877,828.95 = 396,932.01/x
  3. Step 3: Cross multiply
    585,261.87x = 877,828.95 × 396,932.01
  4. Step 4: Simplify right side
    585,261.87x = 348,438,409,559.69
  5. Step 5: Solve for x
    x = 348,438,409,559.69/585,261.87
  6. Step 6: Final answer
    x = 595,354.71

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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.