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Finding the Fourth Proportional to 514,353.32, 709,654.01 and 332,777.64

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Solution

The fourth proportional to 514,353.32, 709,654.01 and 332,777.64 is: 459,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,353.32 : 709,654.01 = 332,777.64 : x
  2. Step 2: Convert to fraction form
    514,353.32/709,654.01 = 332,777.64/x
  3. Step 3: Cross multiply
    514,353.32x = 709,654.01 × 332,777.64
  4. Step 4: Simplify right side
    514,353.32x = 236,156,987,537.62
  5. Step 5: Solve for x
    x = 236,156,987,537.62/514,353.32
  6. Step 6: Final answer
    x = 459,133.79

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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.