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Finding the Fourth Proportional to 296,453.77, 409,106.45 and 160,488.89

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Solution

The fourth proportional to 296,453.77, 409,106.45 and 160,488.89 is: 221,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,453.77 : 409,106.45 = 160,488.89 : x
  2. Step 2: Convert to fraction form
    296,453.77/409,106.45 = 160,488.89/x
  3. Step 3: Cross multiply
    296,453.77x = 409,106.45 × 160,488.89
  4. Step 4: Simplify right side
    296,453.77x = 65,657,041,340.65
  5. Step 5: Solve for x
    x = 65,657,041,340.65/296,453.77
  6. Step 6: Final answer
    x = 221,474.80

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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.