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Finding the Fourth Proportional to 475,798.28, 713,697.96 and 160,228.76

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Solution

The fourth proportional to 475,798.28, 713,697.96 and 160,228.76 is: 240,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,798.28 : 713,697.96 = 160,228.76 : x
  2. Step 2: Convert to fraction form
    475,798.28/713,697.96 = 160,228.76/x
  3. Step 3: Cross multiply
    475,798.28x = 713,697.96 × 160,228.76
  4. Step 4: Simplify right side
    475,798.28x = 114,354,939,145.33
  5. Step 5: Solve for x
    x = 114,354,939,145.33/475,798.28
  6. Step 6: Final answer
    x = 240,343.32

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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.