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Finding the Fourth Proportional to 523,685.82, 722,686.92 and 297,331.32

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Solution

The fourth proportional to 523,685.82, 722,686.92 and 297,331.32 is: 410,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,685.82 : 722,686.92 = 297,331.32 : x
  2. Step 2: Convert to fraction form
    523,685.82/722,686.92 = 297,331.32/x
  3. Step 3: Cross multiply
    523,685.82x = 722,686.92 × 297,331.32
  4. Step 4: Simplify right side
    523,685.82x = 214,877,457,465.42
  5. Step 5: Solve for x
    x = 214,877,457,465.42/523,685.82
  6. Step 6: Final answer
    x = 410,317.50

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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.