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Finding the Fourth Proportional to 469,897.45, 704,354.10 and 185,478.10

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Solution

The fourth proportional to 469,897.45, 704,354.10 and 185,478.10 is: 278,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,897.45 : 704,354.10 = 185,478.10 : x
  2. Step 2: Convert to fraction form
    469,897.45/704,354.10 = 185,478.10/x
  3. Step 3: Cross multiply
    469,897.45x = 704,354.10 × 185,478.10
  4. Step 4: Simplify right side
    469,897.45x = 130,642,260,195.21
  5. Step 5: Solve for x
    x = 130,642,260,195.21/469,897.45
  6. Step 6: Final answer
    x = 278,022.92

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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.