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Finding the Fourth Proportional to 351,703.60, 527,782.20 and 194,045.20

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Solution

The fourth proportional to 351,703.60, 527,782.20 and 194,045.20 is: 291,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,703.60 : 527,782.20 = 194,045.20 : x
  2. Step 2: Convert to fraction form
    351,703.60/527,782.20 = 194,045.20/x
  3. Step 3: Cross multiply
    351,703.60x = 527,782.20 × 194,045.20
  4. Step 4: Simplify right side
    351,703.60x = 102,413,602,555.44
  5. Step 5: Solve for x
    x = 102,413,602,555.44/351,703.60
  6. Step 6: Final answer
    x = 291,192.93

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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.