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Finding the Fourth Proportional to 407,242.84, 562,062.54 and 226,012.98

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Solution

The fourth proportional to 407,242.84, 562,062.54 and 226,012.98 is: 311,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,242.84 : 562,062.54 = 226,012.98 : x
  2. Step 2: Convert to fraction form
    407,242.84/562,062.54 = 226,012.98/x
  3. Step 3: Cross multiply
    407,242.84x = 562,062.54 × 226,012.98
  4. Step 4: Simplify right side
    407,242.84x = 127,033,429,611.77
  5. Step 5: Solve for x
    x = 127,033,429,611.77/407,242.84
  6. Step 6: Final answer
    x = 311,935.33

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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.