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Finding the Fourth Proportional to 697,024, 961,744.80 and 410,439.52

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Solution

The fourth proportional to 697,024, 961,744.80 and 410,439.52 is: 566,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,024 : 961,744.80 = 410,439.52 : x
  2. Step 2: Convert to fraction form
    697,024/961,744.80 = 410,439.52/x
  3. Step 3: Cross multiply
    697,024x = 961,744.80 × 410,439.52
  4. Step 4: Simplify right side
    697,024x = 394,738,074,074.50
  5. Step 5: Solve for x
    x = 394,738,074,074.50/697,024
  6. Step 6: Final answer
    x = 566,319.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.