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Finding the Fourth Proportional to 706,475.21, 1,059,564.38 and 233,049.65

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Solution

The fourth proportional to 706,475.21, 1,059,564.38 and 233,049.65 is: 349,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,475.21 : 1,059,564.38 = 233,049.65 : x
  2. Step 2: Convert to fraction form
    706,475.21/1,059,564.38 = 233,049.65/x
  3. Step 3: Cross multiply
    706,475.21x = 1,059,564.38 × 233,049.65
  4. Step 4: Simplify right side
    706,475.21x = 246,931,101,448.40
  5. Step 5: Solve for x
    x = 246,931,101,448.40/706,475.21
  6. Step 6: Final answer
    x = 349,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.