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Finding the Fourth Proportional to 407,925.72, 562,955.01 and 226,637.66

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Solution

The fourth proportional to 407,925.72, 562,955.01 and 226,637.66 is: 312,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,925.72 : 562,955.01 = 226,637.66 : x
  2. Step 2: Convert to fraction form
    407,925.72/562,955.01 = 226,637.66/x
  3. Step 3: Cross multiply
    407,925.72x = 562,955.01 × 226,637.66
  4. Step 4: Simplify right side
    407,925.72x = 127,586,804,186.79
  5. Step 5: Solve for x
    x = 127,586,804,186.79/407,925.72
  6. Step 6: Final answer
    x = 312,769.70

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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.