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Finding the Fourth Proportional to 507,675.90, 761,805.45 and 192,359.10

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Solution

The fourth proportional to 507,675.90, 761,805.45 and 192,359.10 is: 288,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,675.90 : 761,805.45 = 192,359.10 : x
  2. Step 2: Convert to fraction form
    507,675.90/761,805.45 = 192,359.10/x
  3. Step 3: Cross multiply
    507,675.90x = 761,805.45 × 192,359.10
  4. Step 4: Simplify right side
    507,675.90x = 146,540,210,737.10
  5. Step 5: Solve for x
    x = 146,540,210,737.10/507,675.90
  6. Step 6: Final answer
    x = 288,649.14

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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.