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Finding the Fourth Proportional to 507,589.88, 761,302.20 and 191,971.76

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Solution

The fourth proportional to 507,589.88, 761,302.20 and 191,971.76 is: 287,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,589.88 : 761,302.20 = 191,971.76 : x
  2. Step 2: Convert to fraction form
    507,589.88/761,302.20 = 191,971.76/x
  3. Step 3: Cross multiply
    507,589.88x = 761,302.20 × 191,971.76
  4. Step 4: Simplify right side
    507,589.88x = 146,148,523,225.87
  5. Step 5: Solve for x
    x = 146,148,523,225.87/507,589.88
  6. Step 6: Final answer
    x = 287,926.39

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1.5x scale

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.