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Finding the Fourth Proportional to 514,408.98, 771,613.56 and 214,726.08

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Solution

The fourth proportional to 514,408.98, 771,613.56 and 214,726.08 is: 322,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,408.98 : 771,613.56 = 214,726.08 : x
  2. Step 2: Convert to fraction form
    514,408.98/771,613.56 = 214,726.08/x
  3. Step 3: Cross multiply
    514,408.98x = 771,613.56 × 214,726.08
  4. Step 4: Simplify right side
    514,408.98x = 165,685,555,013.65
  5. Step 5: Solve for x
    x = 165,685,555,013.65/514,408.98
  6. Step 6: Final answer
    x = 322,089.16

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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.