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Finding the Fourth Proportional to 523,353.12, 722,225.26 and 293,878.50

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Solution

The fourth proportional to 523,353.12, 722,225.26 and 293,878.50 is: 405,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,353.12 : 722,225.26 = 293,878.50 : x
  2. Step 2: Convert to fraction form
    523,353.12/722,225.26 = 293,878.50/x
  3. Step 3: Cross multiply
    523,353.12x = 722,225.26 × 293,878.50
  4. Step 4: Simplify right side
    523,353.12x = 212,246,476,070.91
  5. Step 5: Solve for x
    x = 212,246,476,070.91/523,353.12
  6. Step 6: Final answer
    x = 405,551.18

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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.