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Finding the Fourth Proportional to 473,683.68, 704,433.38 and 458,733.11

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Solution

The fourth proportional to 473,683.68, 704,433.38 and 458,733.11 is: 682,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,683.68 : 704,433.38 = 458,733.11 : x
  2. Step 2: Convert to fraction form
    473,683.68/704,433.38 = 458,733.11/x
  3. Step 3: Cross multiply
    473,683.68x = 704,433.38 × 458,733.11
  4. Step 4: Simplify right side
    473,683.68x = 323,146,909,379.38
  5. Step 5: Solve for x
    x = 323,146,909,379.38/473,683.68
  6. Step 6: Final answer
    x = 682,199.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.