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Finding the Fourth Proportional to 346,275.33, 478,058.70 and 263,957.31

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Solution

The fourth proportional to 346,275.33, 478,058.70 and 263,957.31 is: 364,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,275.33 : 478,058.70 = 263,957.31 : x
  2. Step 2: Convert to fraction form
    346,275.33/478,058.70 = 263,957.31/x
  3. Step 3: Cross multiply
    346,275.33x = 478,058.70 × 263,957.31
  4. Step 4: Simplify right side
    346,275.33x = 126,187,088,474.10
  5. Step 5: Solve for x
    x = 126,187,088,474.10/346,275.33
  6. Step 6: Final answer
    x = 364,412.59

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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.