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Finding the Fourth Proportional to 413,703.94, 570,908.01 and 232,412

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Solution

The fourth proportional to 413,703.94, 570,908.01 and 232,412 is: 320,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,703.94 : 570,908.01 = 232,412 : x
  2. Step 2: Convert to fraction form
    413,703.94/570,908.01 = 232,412/x
  3. Step 3: Cross multiply
    413,703.94x = 570,908.01 × 232,412
  4. Step 4: Simplify right side
    413,703.94x = 132,685,872,420.12
  5. Step 5: Solve for x
    x = 132,685,872,420.12/413,703.94
  6. Step 6: Final answer
    x = 320,726.63

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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.