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Finding the Fourth Proportional to 417,706.80, 576,433.44 and 226,718.52

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Solution

The fourth proportional to 417,706.80, 576,433.44 and 226,718.52 is: 312,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706.80 : 576,433.44 = 226,718.52 : x
  2. Step 2: Convert to fraction form
    417,706.80/576,433.44 = 226,718.52/x
  3. Step 3: Cross multiply
    417,706.80x = 576,433.44 × 226,718.52
  4. Step 4: Simplify right side
    417,706.80x = 130,688,136,395.31
  5. Step 5: Solve for x
    x = 130,688,136,395.31/417,706.80
  6. Step 6: Final answer
    x = 312,870.50

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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.