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Finding the Fourth Proportional to 363,752, 502,047.48 and 204,776

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Solution

The fourth proportional to 363,752, 502,047.48 and 204,776 is: 282,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,752 : 502,047.48 = 204,776 : x
  2. Step 2: Convert to fraction form
    363,752/502,047.48 = 204,776/x
  3. Step 3: Cross multiply
    363,752x = 502,047.48 × 204,776
  4. Step 4: Simplify right side
    363,752x = 102,807,274,764.48
  5. Step 5: Solve for x
    x = 102,807,274,764.48/363,752
  6. Step 6: Final answer
    x = 282,630.13

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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.