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Finding the Fourth Proportional to 523,654.34, 722,598.57 and 294,193.62

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Solution

The fourth proportional to 523,654.34, 722,598.57 and 294,193.62 is: 405,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,654.34 : 722,598.57 = 294,193.62 : x
  2. Step 2: Convert to fraction form
    523,654.34/722,598.57 = 294,193.62/x
  3. Step 3: Cross multiply
    523,654.34x = 722,598.57 × 294,193.62
  4. Step 4: Simplify right side
    523,654.34x = 212,583,889,115.12
  5. Step 5: Solve for x
    x = 212,583,889,115.12/523,654.34
  6. Step 6: Final answer
    x = 405,962.24

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1.5x scale

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.