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Finding the Fourth Proportional to 407,714.01, 562,664.01 and 226,426.74

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Solution

The fourth proportional to 407,714.01, 562,664.01 and 226,426.74 is: 312,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.01 : 562,664.01 = 226,426.74 : x
  2. Step 2: Convert to fraction form
    407,714.01/562,664.01 = 226,426.74/x
  3. Step 3: Cross multiply
    407,714.01x = 562,664.01 × 226,426.74
  4. Step 4: Simplify right side
    407,714.01x = 127,402,177,499.63
  5. Step 5: Solve for x
    x = 127,402,177,499.63/407,714.01
  6. Step 6: Final answer
    x = 312,479.27

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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.