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Finding the Fourth Proportional to 407,239.84, 562,058.41 and 226,009.98

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Solution

The fourth proportional to 407,239.84, 562,058.41 and 226,009.98 is: 311,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,239.84 : 562,058.41 = 226,009.98 : x
  2. Step 2: Convert to fraction form
    407,239.84/562,058.41 = 226,009.98/x
  3. Step 3: Cross multiply
    407,239.84x = 562,058.41 × 226,009.98
  4. Step 4: Simplify right side
    407,239.84x = 127,030,810,002.93
  5. Step 5: Solve for x
    x = 127,030,810,002.93/407,239.84
  6. Step 6: Final answer
    x = 311,931.20

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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.