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Finding the Fourth Proportional to 418,149.57, 577,048.73 and 257,109.83

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Solution

The fourth proportional to 418,149.57, 577,048.73 and 257,109.83 is: 354,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,149.57 : 577,048.73 = 257,109.83 : x
  2. Step 2: Convert to fraction form
    418,149.57/577,048.73 = 257,109.83/x
  3. Step 3: Cross multiply
    418,149.57x = 577,048.73 × 257,109.83
  4. Step 4: Simplify right side
    418,149.57x = 148,364,898,865.16
  5. Step 5: Solve for x
    x = 148,364,898,865.16/418,149.57
  6. Step 6: Final answer
    x = 354,812.99

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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.