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Finding the Fourth Proportional to 514,408.56, 770,837.95 and 458,349.06

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Solution

The fourth proportional to 514,408.56, 770,837.95 and 458,349.06 is: 686,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,408.56 : 770,837.95 = 458,349.06 : x
  2. Step 2: Convert to fraction form
    514,408.56/770,837.95 = 458,349.06/x
  3. Step 3: Cross multiply
    514,408.56x = 770,837.95 × 458,349.06
  4. Step 4: Simplify right side
    514,408.56x = 353,312,853,258.41
  5. Step 5: Solve for x
    x = 353,312,853,258.41/514,408.56
  6. Step 6: Final answer
    x = 686,833.16

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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.