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Finding the Fourth Proportional to 523,464.51, 722,830.09 and 506,537.13

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Solution

The fourth proportional to 523,464.51, 722,830.09 and 506,537.13 is: 699,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,464.51 : 722,830.09 = 506,537.13 : x
  2. Step 2: Convert to fraction form
    523,464.51/722,830.09 = 506,537.13/x
  3. Step 3: Cross multiply
    523,464.51x = 722,830.09 × 506,537.13
  4. Step 4: Simplify right side
    523,464.51x = 366,140,279,266.24
  5. Step 5: Solve for x
    x = 366,140,279,266.24/523,464.51
  6. Step 6: Final answer
    x = 699,455.78

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