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Finding the Fourth Proportional to 319,650.50, 441,123.77 and 176,407.47

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Solution

The fourth proportional to 319,650.50, 441,123.77 and 176,407.47 is: 243,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,650.50 : 441,123.77 = 176,407.47 : x
  2. Step 2: Convert to fraction form
    319,650.50/441,123.77 = 176,407.47/x
  3. Step 3: Cross multiply
    319,650.50x = 441,123.77 × 176,407.47
  4. Step 4: Simplify right side
    319,650.50x = 77,817,528,663.58
  5. Step 5: Solve for x
    x = 77,817,528,663.58/319,650.50
  6. Step 6: Final answer
    x = 243,445.66

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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.