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Finding the Fourth Proportional to 364,872, 546,858.72 and 259,118.40

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Solution

The fourth proportional to 364,872, 546,858.72 and 259,118.40 is: 388,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,872 : 546,858.72 = 259,118.40 : x
  2. Step 2: Convert to fraction form
    364,872/546,858.72 = 259,118.40/x
  3. Step 3: Cross multiply
    364,872x = 546,858.72 × 259,118.40
  4. Step 4: Simplify right side
    364,872x = 141,701,156,552.45
  5. Step 5: Solve for x
    x = 141,701,156,552.45/364,872
  6. Step 6: Final answer
    x = 388,358.54

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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.