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Finding the Fourth Proportional to 501,178.95, 752,410.22 and 430,553.43

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Solution

The fourth proportional to 501,178.95, 752,410.22 and 430,553.43 is: 646,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,178.95 : 752,410.22 = 430,553.43 : x
  2. Step 2: Convert to fraction form
    501,178.95/752,410.22 = 430,553.43/x
  3. Step 3: Cross multiply
    501,178.95x = 752,410.22 × 430,553.43
  4. Step 4: Simplify right side
    501,178.95x = 323,952,798,835.29
  5. Step 5: Solve for x
    x = 323,952,798,835.29/501,178.95
  6. Step 6: Final answer
    x = 646,381.49

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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.