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Finding the Fourth Proportional to 413,424.65, 619,895.57 and 160,409.63

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Solution

The fourth proportional to 413,424.65, 619,895.57 and 160,409.63 is: 240,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,424.65 : 619,895.57 = 160,409.63 : x
  2. Step 2: Convert to fraction form
    413,424.65/619,895.57 = 160,409.63/x
  3. Step 3: Cross multiply
    413,424.65x = 619,895.57 × 160,409.63
  4. Step 4: Simplify right side
    413,424.65x = 99,437,219,770.03
  5. Step 5: Solve for x
    x = 99,437,219,770.03/413,424.65
  6. Step 6: Final answer
    x = 240,520.78

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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.