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Finding the Fourth Proportional to 395,649.93, 592,798.75 and 282,753.35

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Solution

The fourth proportional to 395,649.93, 592,798.75 and 282,753.35 is: 423,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,649.93 : 592,798.75 = 282,753.35 : x
  2. Step 2: Convert to fraction form
    395,649.93/592,798.75 = 282,753.35/x
  3. Step 3: Cross multiply
    395,649.93x = 592,798.75 × 282,753.35
  4. Step 4: Simplify right side
    395,649.93x = 167,615,828,767.44
  5. Step 5: Solve for x
    x = 167,615,828,767.44/395,649.93
  6. Step 6: Final answer
    x = 423,646.81

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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.