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Finding the Fourth Proportional to 523,587, 722,552.82 and 294,153.96

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Solution

The fourth proportional to 523,587, 722,552.82 and 294,153.96 is: 405,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,587 : 722,552.82 = 294,153.96 : x
  2. Step 2: Convert to fraction form
    523,587/722,552.82 = 294,153.96/x
  3. Step 3: Cross multiply
    523,587x = 722,552.82 × 294,153.96
  4. Step 4: Simplify right side
    523,587x = 212,541,773,312.17
  5. Step 5: Solve for x
    x = 212,541,773,312.17/523,587
  6. Step 6: Final answer
    x = 405,934.02

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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.