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Finding the Fourth Proportional to 413,501.80, 620,252.70 and 133,047.40

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Solution

The fourth proportional to 413,501.80, 620,252.70 and 133,047.40 is: 199,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,501.80 : 620,252.70 = 133,047.40 : x
  2. Step 2: Convert to fraction form
    413,501.80/620,252.70 = 133,047.40/x
  3. Step 3: Cross multiply
    413,501.80x = 620,252.70 × 133,047.40
  4. Step 4: Simplify right side
    413,501.80x = 82,523,009,077.98
  5. Step 5: Solve for x
    x = 82,523,009,077.98/413,501.80
  6. Step 6: Final answer
    x = 199,571.10

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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.