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Finding the Fourth Proportional to 455,459.78, 683,196.96 and 202,681.46

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Solution

The fourth proportional to 455,459.78, 683,196.96 and 202,681.46 is: 304,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,459.78 : 683,196.96 = 202,681.46 : x
  2. Step 2: Convert to fraction form
    455,459.78/683,196.96 = 202,681.46/x
  3. Step 3: Cross multiply
    455,459.78x = 683,196.96 × 202,681.46
  4. Step 4: Simplify right side
    455,459.78x = 138,471,353,904.38
  5. Step 5: Solve for x
    x = 138,471,353,904.38/455,459.78
  6. Step 6: Final answer
    x = 304,025.43

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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.