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Finding the Fourth Proportional to 401,459.86, 602,190.03 and 101,962.90

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Solution

The fourth proportional to 401,459.86, 602,190.03 and 101,962.90 is: 152,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.86 : 602,190.03 = 101,962.90 : x
  2. Step 2: Convert to fraction form
    401,459.86/602,190.03 = 101,962.90/x
  3. Step 3: Cross multiply
    401,459.86x = 602,190.03 × 101,962.90
  4. Step 4: Simplify right side
    401,459.86x = 61,401,041,809.89
  5. Step 5: Solve for x
    x = 61,401,041,809.89/401,459.86
  6. Step 6: Final answer
    x = 152,944.41

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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.