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Finding the Fourth Proportional to 632,457.12, 947,165.49 and 361,764.63

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Solution

The fourth proportional to 632,457.12, 947,165.49 and 361,764.63 is: 541,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,457.12 : 947,165.49 = 361,764.63 : x
  2. Step 2: Convert to fraction form
    632,457.12/947,165.49 = 361,764.63/x
  3. Step 3: Cross multiply
    632,457.12x = 947,165.49 × 361,764.63
  4. Step 4: Simplify right side
    632,457.12x = 342,650,973,038.62
  5. Step 5: Solve for x
    x = 342,650,973,038.62/632,457.12
  6. Step 6: Final answer
    x = 541,777.40

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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.