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Finding the Fourth Proportional to 362,098.20, 542,564.10 and 302,611.80

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Solution

The fourth proportional to 362,098.20, 542,564.10 and 302,611.80 is: 453,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,098.20 : 542,564.10 = 302,611.80 : x
  2. Step 2: Convert to fraction form
    362,098.20/542,564.10 = 302,611.80/x
  3. Step 3: Cross multiply
    362,098.20x = 542,564.10 × 302,611.80
  4. Step 4: Simplify right side
    362,098.20x = 164,186,298,916.38
  5. Step 5: Solve for x
    x = 164,186,298,916.38/362,098.20
  6. Step 6: Final answer
    x = 453,430.31

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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.