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Finding the Fourth Proportional to 461,559.02, 692,647.76 and 162,040.48

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Solution

The fourth proportional to 461,559.02, 692,647.76 and 162,040.48 is: 243,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,559.02 : 692,647.76 = 162,040.48 : x
  2. Step 2: Convert to fraction form
    461,559.02/692,647.76 = 162,040.48/x
  3. Step 3: Cross multiply
    461,559.02x = 692,647.76 × 162,040.48
  4. Step 4: Simplify right side
    461,559.02x = 112,236,974,174.81
  5. Step 5: Solve for x
    x = 112,236,974,174.81/461,559.02
  6. Step 6: Final answer
    x = 243,169.28

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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.