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Finding the Fourth Proportional to 461,754.23, 692,700.59 and 162,182.00

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Solution

The fourth proportional to 461,754.23, 692,700.59 and 162,182.00 is: 243,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754.23 : 692,700.59 = 162,182.00 : x
  2. Step 2: Convert to fraction form
    461,754.23/692,700.59 = 162,182.00/x
  3. Step 3: Cross multiply
    461,754.23x = 692,700.59 × 162,182.00
  4. Step 4: Simplify right side
    461,754.23x = 112,343,569,224.59
  5. Step 5: Solve for x
    x = 112,343,569,224.59/461,754.23
  6. Step 6: Final answer
    x = 243,297.33

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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.