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Finding the Fourth Proportional to 562,408.38, 776,123.51 and 307,759.50

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Solution

The fourth proportional to 562,408.38, 776,123.51 and 307,759.50 is: 424,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,408.38 : 776,123.51 = 307,759.50 : x
  2. Step 2: Convert to fraction form
    562,408.38/776,123.51 = 307,759.50/x
  3. Step 3: Cross multiply
    562,408.38x = 776,123.51 × 307,759.50
  4. Step 4: Simplify right side
    562,408.38x = 238,859,381,837.05
  5. Step 5: Solve for x
    x = 238,859,381,837.05/562,408.38
  6. Step 6: Final answer
    x = 424,708.08

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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.