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Finding the Fourth Proportional to 464,998.40, 696,115.20 and 307,404.80

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Solution

The fourth proportional to 464,998.40, 696,115.20 and 307,404.80 is: 460,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,998.40 : 696,115.20 = 307,404.80 : x
  2. Step 2: Convert to fraction form
    464,998.40/696,115.20 = 307,404.80/x
  3. Step 3: Cross multiply
    464,998.40x = 696,115.20 × 307,404.80
  4. Step 4: Simplify right side
    464,998.40x = 213,989,153,832.96
  5. Step 5: Solve for x
    x = 213,989,153,832.96/464,998.40
  6. Step 6: Final answer
    x = 460,193.31

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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.