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Finding the Fourth Proportional to 412,755.81, 619,031.16 and 232,920.18

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Solution

The fourth proportional to 412,755.81, 619,031.16 and 232,920.18 is: 349,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,755.81 : 619,031.16 = 232,920.18 : x
  2. Step 2: Convert to fraction form
    412,755.81/619,031.16 = 232,920.18/x
  3. Step 3: Cross multiply
    412,755.81x = 619,031.16 × 232,920.18
  4. Step 4: Simplify right side
    412,755.81x = 144,184,849,212.81
  5. Step 5: Solve for x
    x = 144,184,849,212.81/412,755.81
  6. Step 6: Final answer
    x = 349,322.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.