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Finding the Fourth Proportional to 458,253, 687,882.36 and 364,088.46

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Solution

The fourth proportional to 458,253, 687,882.36 and 364,088.46 is: 546,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,253 : 687,882.36 = 364,088.46 : x
  2. Step 2: Convert to fraction form
    458,253/687,882.36 = 364,088.46/x
  3. Step 3: Cross multiply
    458,253x = 687,882.36 × 364,088.46
  4. Step 4: Simplify right side
    458,253x = 250,450,029,113.57
  5. Step 5: Solve for x
    x = 250,450,029,113.57/458,253
  6. Step 6: Final answer
    x = 546,532.22

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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.