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Finding the Fourth Proportional to 458,209.61, 687,817.22 and 364,045.08

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Solution

The fourth proportional to 458,209.61, 687,817.22 and 364,045.08 is: 546,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,209.61 : 687,817.22 = 364,045.08 : x
  2. Step 2: Convert to fraction form
    458,209.61/687,817.22 = 364,045.08/x
  3. Step 3: Cross multiply
    458,209.61x = 687,817.22 × 364,045.08
  4. Step 4: Simplify right side
    458,209.61x = 250,396,473,060.05
  5. Step 5: Solve for x
    x = 250,396,473,060.05/458,209.61
  6. Step 6: Final answer
    x = 546,467.10

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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.