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Finding the Fourth Proportional to 523,787.04, 722,772.18 and 294,307.83

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Solution

The fourth proportional to 523,787.04, 722,772.18 and 294,307.83 is: 406,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,787.04 : 722,772.18 = 294,307.83 : x
  2. Step 2: Convert to fraction form
    523,787.04/722,772.18 = 294,307.83/x
  3. Step 3: Cross multiply
    523,787.04x = 722,772.18 × 294,307.83
  4. Step 4: Simplify right side
    523,787.04x = 212,717,511,880.17
  5. Step 5: Solve for x
    x = 212,717,511,880.17/523,787.04
  6. Step 6: Final answer
    x = 406,114.50

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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.