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Finding the Fourth Proportional to 395,743.30, 592,196.01 and 342,618.01

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Solution

The fourth proportional to 395,743.30, 592,196.01 and 342,618.01 is: 512,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,743.30 : 592,196.01 = 342,618.01 : x
  2. Step 2: Convert to fraction form
    395,743.30/592,196.01 = 342,618.01/x
  3. Step 3: Cross multiply
    395,743.30x = 592,196.01 × 342,618.01
  4. Step 4: Simplify right side
    395,743.30x = 202,897,018,476.14
  5. Step 5: Solve for x
    x = 202,897,018,476.14/395,743.30
  6. Step 6: Final answer
    x = 512,698.56

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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.