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Finding the Fourth Proportional to 474,317.65, 654,563.10 and 259,453

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Solution

The fourth proportional to 474,317.65, 654,563.10 and 259,453 is: 358,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,317.65 : 654,563.10 = 259,453 : x
  2. Step 2: Convert to fraction form
    474,317.65/654,563.10 = 259,453/x
  3. Step 3: Cross multiply
    474,317.65x = 654,563.10 × 259,453
  4. Step 4: Simplify right side
    474,317.65x = 169,828,359,984.30
  5. Step 5: Solve for x
    x = 169,828,359,984.30/474,317.65
  6. Step 6: Final answer
    x = 358,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.