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Finding the Fourth Proportional to 395,282.16, 592,912.47 and 110,975.07

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Solution

The fourth proportional to 395,282.16, 592,912.47 and 110,975.07 is: 166,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,282.16 : 592,912.47 = 110,975.07 : x
  2. Step 2: Convert to fraction form
    395,282.16/592,912.47 = 110,975.07/x
  3. Step 3: Cross multiply
    395,282.16x = 592,912.47 × 110,975.07
  4. Step 4: Simplify right side
    395,282.16x = 65,798,502,862.12
  5. Step 5: Solve for x
    x = 65,798,502,862.12/395,282.16
  6. Step 6: Final answer
    x = 166,459.58

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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.