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Finding the Fourth Proportional to 589,409.74, 884,120.82 and 471,828.52

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Solution

The fourth proportional to 589,409.74, 884,120.82 and 471,828.52 is: 707,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,409.74 : 884,120.82 = 471,828.52 : x
  2. Step 2: Convert to fraction form
    589,409.74/884,120.82 = 471,828.52/x
  3. Step 3: Cross multiply
    589,409.74x = 884,120.82 × 471,828.52
  4. Step 4: Simplify right side
    589,409.74x = 417,153,418,001.79
  5. Step 5: Solve for x
    x = 417,153,418,001.79/589,409.74
  6. Step 6: Final answer
    x = 707,747.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.