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Finding the Fourth Proportional to 507,754.80, 761,478.68 and 152,674.56

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Solution

The fourth proportional to 507,754.80, 761,478.68 and 152,674.56 is: 228,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,754.80 : 761,478.68 = 152,674.56 : x
  2. Step 2: Convert to fraction form
    507,754.80/761,478.68 = 152,674.56/x
  3. Step 3: Cross multiply
    507,754.80x = 761,478.68 × 152,674.56
  4. Step 4: Simplify right side
    507,754.80x = 116,258,422,418.38
  5. Step 5: Solve for x
    x = 116,258,422,418.38/507,754.80
  6. Step 6: Final answer
    x = 228,965.68

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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.