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Finding the Fourth Proportional to 462,072.60, 693,108.90 and 162,599.40

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Solution

The fourth proportional to 462,072.60, 693,108.90 and 162,599.40 is: 243,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,072.60 : 693,108.90 = 162,599.40 : x
  2. Step 2: Convert to fraction form
    462,072.60/693,108.90 = 162,599.40/x
  3. Step 3: Cross multiply
    462,072.60x = 693,108.90 × 162,599.40
  4. Step 4: Simplify right side
    462,072.60x = 112,699,091,274.66
  5. Step 5: Solve for x
    x = 112,699,091,274.66/462,072.60
  6. Step 6: Final answer
    x = 243,899.10

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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.