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Finding the Fourth Proportional to 355,284.24, 533,010.24 and 115,397.40

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Solution

The fourth proportional to 355,284.24, 533,010.24 and 115,397.40 is: 173,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,284.24 : 533,010.24 = 115,397.40 : x
  2. Step 2: Convert to fraction form
    355,284.24/533,010.24 = 115,397.40/x
  3. Step 3: Cross multiply
    355,284.24x = 533,010.24 × 115,397.40
  4. Step 4: Simplify right side
    355,284.24x = 61,507,995,869.38
  5. Step 5: Solve for x
    x = 61,507,995,869.38/355,284.24
  6. Step 6: Final answer
    x = 173,123.34

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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.