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Finding the Fourth Proportional to 407,716.65, 562,656.65 and 226,445.63

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Solution

The fourth proportional to 407,716.65, 562,656.65 and 226,445.63 is: 312,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,716.65 : 562,656.65 = 226,445.63 : x
  2. Step 2: Convert to fraction form
    407,716.65/562,656.65 = 226,445.63/x
  3. Step 3: Cross multiply
    407,716.65x = 562,656.65 × 226,445.63
  4. Step 4: Simplify right side
    407,716.65x = 127,411,135,637.43
  5. Step 5: Solve for x
    x = 127,411,135,637.43/407,716.65
  6. Step 6: Final answer
    x = 312,499.22

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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.