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Finding the Fourth Proportional to 697,510.74, 962,450.10 and 410,991.87

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Solution

The fourth proportional to 697,510.74, 962,450.10 and 410,991.87 is: 567,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,510.74 : 962,450.10 = 410,991.87 : x
  2. Step 2: Convert to fraction form
    697,510.74/962,450.10 = 410,991.87/x
  3. Step 3: Cross multiply
    697,510.74x = 962,450.10 × 410,991.87
  4. Step 4: Simplify right side
    697,510.74x = 395,559,166,380.69
  5. Step 5: Solve for x
    x = 395,559,166,380.69/697,510.74
  6. Step 6: Final answer
    x = 567,101.18

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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.