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Finding the Fourth Proportional to 357,748.32, 493,759.19 and 204,786.51

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Solution

The fourth proportional to 357,748.32, 493,759.19 and 204,786.51 is: 282,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,748.32 : 493,759.19 = 204,786.51 : x
  2. Step 2: Convert to fraction form
    357,748.32/493,759.19 = 204,786.51/x
  3. Step 3: Cross multiply
    357,748.32x = 493,759.19 × 204,786.51
  4. Step 4: Simplify right side
    357,748.32x = 101,115,220,276.59
  5. Step 5: Solve for x
    x = 101,115,220,276.59/357,748.32
  6. Step 6: Final answer
    x = 282,643.45

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