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Finding the Fourth Proportional to 413,735.48, 570,775.02 and 260,680.76

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Solution

The fourth proportional to 413,735.48, 570,775.02 and 260,680.76 is: 359,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,735.48 : 570,775.02 = 260,680.76 : x
  2. Step 2: Convert to fraction form
    413,735.48/570,775.02 = 260,680.76/x
  3. Step 3: Cross multiply
    413,735.48x = 570,775.02 × 260,680.76
  4. Step 4: Simplify right side
    413,735.48x = 148,790,066,002.62
  5. Step 5: Solve for x
    x = 148,790,066,002.62/413,735.48
  6. Step 6: Final answer
    x = 359,626.07

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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.