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Finding the Fourth Proportional to 415,208.63, 572,987.90 and 224,222.02

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Solution

The fourth proportional to 415,208.63, 572,987.90 and 224,222.02 is: 309,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,208.63 : 572,987.90 = 224,222.02 : x
  2. Step 2: Convert to fraction form
    415,208.63/572,987.90 = 224,222.02/x
  3. Step 3: Cross multiply
    415,208.63x = 572,987.90 × 224,222.02
  4. Step 4: Simplify right side
    415,208.63x = 128,476,503,501.64
  5. Step 5: Solve for x
    x = 128,476,503,501.64/415,208.63
  6. Step 6: Final answer
    x = 309,426.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.