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Finding the Fourth Proportional to 461,606.20, 692,712.05 and 162,079.06

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Solution

The fourth proportional to 461,606.20, 692,712.05 and 162,079.06 is: 243,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,606.20 : 692,712.05 = 162,079.06 : x
  2. Step 2: Convert to fraction form
    461,606.20/692,712.05 = 162,079.06/x
  3. Step 3: Cross multiply
    461,606.20x = 692,712.05 × 162,079.06
  4. Step 4: Simplify right side
    461,606.20x = 112,274,117,914.67
  5. Step 5: Solve for x
    x = 112,274,117,914.67/461,606.20
  6. Step 6: Final answer
    x = 243,224.89

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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.