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Finding the Fourth Proportional to 539,821, 809,178.54 and 224,461

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Solution

The fourth proportional to 539,821, 809,178.54 and 224,461 is: 336,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,821 : 809,178.54 = 224,461 : x
  2. Step 2: Convert to fraction form
    539,821/809,178.54 = 224,461/x
  3. Step 3: Cross multiply
    539,821x = 809,178.54 × 224,461
  4. Step 4: Simplify right side
    539,821x = 181,629,024,266.94
  5. Step 5: Solve for x
    x = 181,629,024,266.94/539,821
  6. Step 6: Final answer
    x = 336,461.58

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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.