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Finding the Fourth Proportional to 553,186.32, 829,435.83 and 233,173.55

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Solution

The fourth proportional to 553,186.32, 829,435.83 and 233,173.55 is: 349,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,186.32 : 829,435.83 = 233,173.55 : x
  2. Step 2: Convert to fraction form
    553,186.32/829,435.83 = 233,173.55/x
  3. Step 3: Cross multiply
    553,186.32x = 829,435.83 × 233,173.55
  4. Step 4: Simplify right side
    553,186.32x = 193,402,496,978.30
  5. Step 5: Solve for x
    x = 193,402,496,978.30/553,186.32
  6. Step 6: Final answer
    x = 349,615.47

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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.