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Finding the Fourth Proportional to 364,783.32, 547,367.58 and 258,851.82

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Solution

The fourth proportional to 364,783.32, 547,367.58 and 258,851.82 is: 388,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,783.32 : 547,367.58 = 258,851.82 : x
  2. Step 2: Convert to fraction form
    364,783.32/547,367.58 = 258,851.82/x
  3. Step 3: Cross multiply
    364,783.32x = 547,367.58 × 258,851.82
  4. Step 4: Simplify right side
    364,783.32x = 141,687,094,292.00
  5. Step 5: Solve for x
    x = 141,687,094,292.00/364,783.32
  6. Step 6: Final answer
    x = 388,414.40

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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.