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Finding the Fourth Proportional to 469,608.60, 704,347.02 and 154,024.50

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Solution

The fourth proportional to 469,608.60, 704,347.02 and 154,024.50 is: 231,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,608.60 : 704,347.02 = 154,024.50 : x
  2. Step 2: Convert to fraction form
    469,608.60/704,347.02 = 154,024.50/x
  3. Step 3: Cross multiply
    469,608.60x = 704,347.02 × 154,024.50
  4. Step 4: Simplify right side
    469,608.60x = 108,486,697,581.99
  5. Step 5: Solve for x
    x = 108,486,697,581.99/469,608.60
  6. Step 6: Final answer
    x = 231,015.14

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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.