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Finding the Fourth Proportional to 465,437.48, 698,058.20 and 212,646.20

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Solution

The fourth proportional to 465,437.48, 698,058.20 and 212,646.20 is: 318,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,437.48 : 698,058.20 = 212,646.20 : x
  2. Step 2: Convert to fraction form
    465,437.48/698,058.20 = 212,646.20/x
  3. Step 3: Cross multiply
    465,437.48x = 698,058.20 × 212,646.20
  4. Step 4: Simplify right side
    465,437.48x = 148,439,420,650.17
  5. Step 5: Solve for x
    x = 148,439,420,650.17/465,437.48
  6. Step 6: Final answer
    x = 318,924.51

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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.