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Finding the Fourth Proportional to 413,628.98, 620,369.55 and 110,024.78

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Solution

The fourth proportional to 413,628.98, 620,369.55 and 110,024.78 is: 165,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,628.98 : 620,369.55 = 110,024.78 : x
  2. Step 2: Convert to fraction form
    413,628.98/620,369.55 = 110,024.78/x
  3. Step 3: Cross multiply
    413,628.98x = 620,369.55 × 110,024.78
  4. Step 4: Simplify right side
    413,628.98x = 68,256,020,155.60
  5. Step 5: Solve for x
    x = 68,256,020,155.60/413,628.98
  6. Step 6: Final answer
    x = 165,017.50

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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.