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Finding the Fourth Proportional to 416,392.90, 624,206.64 and 150,088.24

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Solution

The fourth proportional to 416,392.90, 624,206.64 and 150,088.24 is: 224,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,392.90 : 624,206.64 = 150,088.24 : x
  2. Step 2: Convert to fraction form
    416,392.90/624,206.64 = 150,088.24/x
  3. Step 3: Cross multiply
    416,392.90x = 624,206.64 × 150,088.24
  4. Step 4: Simplify right side
    416,392.90x = 93,686,075,993.91
  5. Step 5: Solve for x
    x = 93,686,075,993.91/416,392.90
  6. Step 6: Final answer
    x = 224,994.41

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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.