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Finding the Fourth Proportional to 463,492.60, 695,498.10 and 197,207.80

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Solution

The fourth proportional to 463,492.60, 695,498.10 and 197,207.80 is: 295,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,492.60 : 695,498.10 = 197,207.80 : x
  2. Step 2: Convert to fraction form
    463,492.60/695,498.10 = 197,207.80/x
  3. Step 3: Cross multiply
    463,492.60x = 695,498.10 × 197,207.80
  4. Step 4: Simplify right side
    463,492.60x = 137,157,650,205.18
  5. Step 5: Solve for x
    x = 137,157,650,205.18/463,492.60
  6. Step 6: Final answer
    x = 295,921.98

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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.