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Finding the Fourth Proportional to 407,246.84, 562,068.08 and 226,017

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Solution

The fourth proportional to 407,246.84, 562,068.08 and 226,017 is: 311,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,246.84 : 562,068.08 = 226,017 : x
  2. Step 2: Convert to fraction form
    407,246.84/562,068.08 = 226,017/x
  3. Step 3: Cross multiply
    407,246.84x = 562,068.08 × 226,017
  4. Step 4: Simplify right side
    407,246.84x = 127,036,941,237.36
  5. Step 5: Solve for x
    x = 127,036,941,237.36/407,246.84
  6. Step 6: Final answer
    x = 311,940.89

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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.