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Finding the Fourth Proportional to 474,605.22, 654,956.28 and 259,759.14

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Solution

The fourth proportional to 474,605.22, 654,956.28 and 259,759.14 is: 358,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,605.22 : 654,956.28 = 259,759.14 : x
  2. Step 2: Convert to fraction form
    474,605.22/654,956.28 = 259,759.14/x
  3. Step 3: Cross multiply
    474,605.22x = 654,956.28 × 259,759.14
  4. Step 4: Simplify right side
    474,605.22x = 170,130,877,574.31
  5. Step 5: Solve for x
    x = 170,130,877,574.31/474,605.22
  6. Step 6: Final answer
    x = 358,468.19

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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.