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Finding the Fourth Proportional to 474,594.24, 654,931.29 and 259,729.98

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Solution

The fourth proportional to 474,594.24, 654,931.29 and 259,729.98 is: 358,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,594.24 : 654,931.29 = 259,729.98 : x
  2. Step 2: Convert to fraction form
    474,594.24/654,931.29 = 259,729.98/x
  3. Step 3: Cross multiply
    474,594.24x = 654,931.29 × 259,729.98
  4. Step 4: Simplify right side
    474,594.24x = 170,105,290,853.07
  5. Step 5: Solve for x
    x = 170,105,290,853.07/474,594.24
  6. Step 6: Final answer
    x = 358,422.58

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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.