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Finding the Fourth Proportional to 407,886.10, 562,872.72 and 226,598.50

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Solution

The fourth proportional to 407,886.10, 562,872.72 and 226,598.50 is: 312,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,886.10 : 562,872.72 = 226,598.50 : x
  2. Step 2: Convert to fraction form
    407,886.10/562,872.72 = 226,598.50/x
  3. Step 3: Cross multiply
    407,886.10x = 562,872.72 × 226,598.50
  4. Step 4: Simplify right side
    407,886.10x = 127,546,114,042.92
  5. Step 5: Solve for x
    x = 127,546,114,042.92/407,886.10
  6. Step 6: Final answer
    x = 312,700.32

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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.