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Finding the Fourth Proportional to 461,555.63, 692,642.70 and 162,037.10

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Solution

The fourth proportional to 461,555.63, 692,642.70 and 162,037.10 is: 243,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,555.63 : 692,642.70 = 162,037.10 : x
  2. Step 2: Convert to fraction form
    461,555.63/692,642.70 = 162,037.10/x
  3. Step 3: Cross multiply
    461,555.63x = 692,642.70 × 162,037.10
  4. Step 4: Simplify right side
    461,555.63x = 112,233,812,279.66
  5. Step 5: Solve for x
    x = 112,233,812,279.66/461,555.63
  6. Step 6: Final answer
    x = 243,164.22

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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.