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Finding the Fourth Proportional to 507,264.63, 761,007.50 and 152,306.33

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Solution

The fourth proportional to 507,264.63, 761,007.50 and 152,306.33 is: 228,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,264.63 : 761,007.50 = 152,306.33 : x
  2. Step 2: Convert to fraction form
    507,264.63/761,007.50 = 152,306.33/x
  3. Step 3: Cross multiply
    507,264.63x = 761,007.50 × 152,306.33
  4. Step 4: Simplify right side
    507,264.63x = 115,906,256,288.78
  5. Step 5: Solve for x
    x = 115,906,256,288.78/507,264.63
  6. Step 6: Final answer
    x = 228,492.68

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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.