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Finding the Fourth Proportional to 407,411.85, 562,224.10 and 226,125.34

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Solution

The fourth proportional to 407,411.85, 562,224.10 and 226,125.34 is: 312,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,411.85 : 562,224.10 = 226,125.34 : x
  2. Step 2: Convert to fraction form
    407,411.85/562,224.10 = 226,125.34/x
  3. Step 3: Cross multiply
    407,411.85x = 562,224.10 × 226,125.34
  4. Step 4: Simplify right side
    407,411.85x = 127,133,116,330.15
  5. Step 5: Solve for x
    x = 127,133,116,330.15/407,411.85
  6. Step 6: Final answer
    x = 312,050.61

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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.