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Finding the Fourth Proportional to 413,572.52, 620,593.02 and 176,894.12

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Solution

The fourth proportional to 413,572.52, 620,593.02 and 176,894.12 is: 265,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,572.52 : 620,593.02 = 176,894.12 : x
  2. Step 2: Convert to fraction form
    413,572.52/620,593.02 = 176,894.12/x
  3. Step 3: Cross multiply
    413,572.52x = 620,593.02 × 176,894.12
  4. Step 4: Simplify right side
    413,572.52x = 109,779,256,151.04
  5. Step 5: Solve for x
    x = 109,779,256,151.04/413,572.52
  6. Step 6: Final answer
    x = 265,441.37

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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.