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Finding the Fourth Proportional to 523,466.02, 722,832.17 and 506,538.64

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Solution

The fourth proportional to 523,466.02, 722,832.17 and 506,538.64 is: 699,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,466.02 : 722,832.17 = 506,538.64 : x
  2. Step 2: Convert to fraction form
    523,466.02/722,832.17 = 506,538.64/x
  3. Step 3: Cross multiply
    523,466.02x = 722,832.17 × 506,538.64
  4. Step 4: Simplify right side
    523,466.02x = 366,142,424,340.05
  5. Step 5: Solve for x
    x = 366,142,424,340.05/523,466.02
  6. Step 6: Final answer
    x = 699,457.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.