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Finding the Fourth Proportional to 461,636.64, 692,531.52 and 162,039.50

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Solution

The fourth proportional to 461,636.64, 692,531.52 and 162,039.50 is: 243,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,636.64 : 692,531.52 = 162,039.50 : x
  2. Step 2: Convert to fraction form
    461,636.64/692,531.52 = 162,039.50/x
  3. Step 3: Cross multiply
    461,636.64x = 692,531.52 × 162,039.50
  4. Step 4: Simplify right side
    461,636.64x = 112,217,461,235.04
  5. Step 5: Solve for x
    x = 112,217,461,235.04/461,636.64
  6. Step 6: Final answer
    x = 243,086.12

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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.