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Finding the Fourth Proportional to 659,254.24, 909,767.82 and 357,448.24

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Solution

The fourth proportional to 659,254.24, 909,767.82 and 357,448.24 is: 493,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,254.24 : 909,767.82 = 357,448.24 : x
  2. Step 2: Convert to fraction form
    659,254.24/909,767.82 = 357,448.24/x
  3. Step 3: Cross multiply
    659,254.24x = 909,767.82 × 357,448.24
  4. Step 4: Simplify right side
    659,254.24x = 325,194,906,067.64
  5. Step 5: Solve for x
    x = 325,194,906,067.64/659,254.24
  6. Step 6: Final answer
    x = 493,276.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.