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Finding the Fourth Proportional to 415,022.07, 572,564.13 and 253,596.86

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Solution

The fourth proportional to 415,022.07, 572,564.13 and 253,596.86 is: 349,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.07 : 572,564.13 = 253,596.86 : x
  2. Step 2: Convert to fraction form
    415,022.07/572,564.13 = 253,596.86/x
  3. Step 3: Cross multiply
    415,022.07x = 572,564.13 × 253,596.86
  4. Step 4: Simplify right side
    415,022.07x = 145,200,465,516.63
  5. Step 5: Solve for x
    x = 145,200,465,516.63/415,022.07
  6. Step 6: Final answer
    x = 349,862.03

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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.