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Finding the Fourth Proportional to 589,387.72, 884,087.75 and 471,806.50

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Solution

The fourth proportional to 589,387.72, 884,087.75 and 471,806.50 is: 707,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,387.72 : 884,087.75 = 471,806.50 : x
  2. Step 2: Convert to fraction form
    589,387.72/884,087.75 = 471,806.50/x
  3. Step 3: Cross multiply
    589,387.72x = 884,087.75 × 471,806.50
  4. Step 4: Simplify right side
    589,387.72x = 417,118,345,989.67
  5. Step 5: Solve for x
    x = 417,118,345,989.67/589,387.72
  6. Step 6: Final answer
    x = 707,714.69

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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.