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Finding the Fourth Proportional to 461,707.80, 692,474.22 and 162,117.96

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Solution

The fourth proportional to 461,707.80, 692,474.22 and 162,117.96 is: 243,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,707.80 : 692,474.22 = 162,117.96 : x
  2. Step 2: Convert to fraction form
    461,707.80/692,474.22 = 162,117.96/x
  3. Step 3: Cross multiply
    461,707.80x = 692,474.22 × 162,117.96
  4. Step 4: Simplify right side
    461,707.80x = 112,262,507,898.99
  5. Step 5: Solve for x
    x = 112,262,507,898.99/461,707.80
  6. Step 6: Final answer
    x = 243,146.22

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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.