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Finding the Fourth Proportional to 523,318.94, 722,171.40 and 293,878.34

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Solution

The fourth proportional to 523,318.94, 722,171.40 and 293,878.34 is: 405,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,318.94 : 722,171.40 = 293,878.34 : x
  2. Step 2: Convert to fraction form
    523,318.94/722,171.40 = 293,878.34/x
  3. Step 3: Cross multiply
    523,318.94x = 722,171.40 × 293,878.34
  4. Step 4: Simplify right side
    523,318.94x = 212,230,532,227.48
  5. Step 5: Solve for x
    x = 212,230,532,227.48/523,318.94
  6. Step 6: Final answer
    x = 405,547.20

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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.