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Finding the Fourth Proportional to 470,297.48, 648,654.90 and 326,985.80

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Solution

The fourth proportional to 470,297.48, 648,654.90 and 326,985.80 is: 450,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,297.48 : 648,654.90 = 326,985.80 : x
  2. Step 2: Convert to fraction form
    470,297.48/648,654.90 = 326,985.80/x
  3. Step 3: Cross multiply
    470,297.48x = 648,654.90 × 326,985.80
  4. Step 4: Simplify right side
    470,297.48x = 212,100,941,400.42
  5. Step 5: Solve for x
    x = 212,100,941,400.42/470,297.48
  6. Step 6: Final answer
    x = 450,993.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.