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Finding the Fourth Proportional to 458,897.68, 688,523.04 and 222,222.16

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Solution

The fourth proportional to 458,897.68, 688,523.04 and 222,222.16 is: 333,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,897.68 : 688,523.04 = 222,222.16 : x
  2. Step 2: Convert to fraction form
    458,897.68/688,523.04 = 222,222.16/x
  3. Step 3: Cross multiply
    458,897.68x = 688,523.04 × 222,222.16
  4. Step 4: Simplify right side
    458,897.68x = 153,005,077,158.57
  5. Step 5: Solve for x
    x = 153,005,077,158.57/458,897.68
  6. Step 6: Final answer
    x = 333,418.72

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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.