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Finding the Fourth Proportional to 659,403.84, 989,094.96 and 210,118.68

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Solution

The fourth proportional to 659,403.84, 989,094.96 and 210,118.68 is: 315,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,403.84 : 989,094.96 = 210,118.68 : x
  2. Step 2: Convert to fraction form
    659,403.84/989,094.96 = 210,118.68/x
  3. Step 3: Cross multiply
    659,403.84x = 989,094.96 × 210,118.68
  4. Step 4: Simplify right side
    659,403.84x = 207,827,327,389.85
  5. Step 5: Solve for x
    x = 207,827,327,389.85/659,403.84
  6. Step 6: Final answer
    x = 315,174.58

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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.