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Finding the Fourth Proportional to 413,253.09, 619,288.29 and 235,392.93

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Solution

The fourth proportional to 413,253.09, 619,288.29 and 235,392.93 is: 352,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,253.09 : 619,288.29 = 235,392.93 : x
  2. Step 2: Convert to fraction form
    413,253.09/619,288.29 = 235,392.93/x
  3. Step 3: Cross multiply
    413,253.09x = 619,288.29 × 235,392.93
  4. Step 4: Simplify right side
    413,253.09x = 145,776,085,097.79
  5. Step 5: Solve for x
    x = 145,776,085,097.79/413,253.09
  6. Step 6: Final answer
    x = 352,752.56

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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.