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Finding the Fourth Proportional to 407,658.63, 562,543.82 and 226,359.51

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Solution

The fourth proportional to 407,658.63, 562,543.82 and 226,359.51 is: 312,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,658.63 : 562,543.82 = 226,359.51 : x
  2. Step 2: Convert to fraction form
    407,658.63/562,543.82 = 226,359.51/x
  3. Step 3: Cross multiply
    407,658.63x = 562,543.82 × 226,359.51
  4. Step 4: Simplify right side
    407,658.63x = 127,337,142,316.93
  5. Step 5: Solve for x
    x = 127,337,142,316.93/407,658.63
  6. Step 6: Final answer
    x = 312,362.19

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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.