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Finding the Fourth Proportional to 647,071.70, 970,607.55 and 458,114.90

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Solution

The fourth proportional to 647,071.70, 970,607.55 and 458,114.90 is: 687,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,071.70 : 970,607.55 = 458,114.90 : x
  2. Step 2: Convert to fraction form
    647,071.70/970,607.55 = 458,114.90/x
  3. Step 3: Cross multiply
    647,071.70x = 970,607.55 × 458,114.90
  4. Step 4: Simplify right side
    647,071.70x = 444,649,780,707.50
  5. Step 5: Solve for x
    x = 444,649,780,707.50/647,071.70
  6. Step 6: Final answer
    x = 687,172.35

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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.