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Finding the Fourth Proportional to 415,493.16, 623,018.20 and 215,612.30

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Solution

The fourth proportional to 415,493.16, 623,018.20 and 215,612.30 is: 323,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,493.16 : 623,018.20 = 215,612.30 : x
  2. Step 2: Convert to fraction form
    415,493.16/623,018.20 = 215,612.30/x
  3. Step 3: Cross multiply
    415,493.16x = 623,018.20 × 215,612.30
  4. Step 4: Simplify right side
    415,493.16x = 134,330,387,043.86
  5. Step 5: Solve for x
    x = 134,330,387,043.86/415,493.16
  6. Step 6: Final answer
    x = 323,303.49

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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.