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Finding the Fourth Proportional to 562,178.84, 775,806.54 and 307,529.96

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Solution

The fourth proportional to 562,178.84, 775,806.54 and 307,529.96 is: 424,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,178.84 : 775,806.54 = 307,529.96 : x
  2. Step 2: Convert to fraction form
    562,178.84/775,806.54 = 307,529.96/x
  3. Step 3: Cross multiply
    562,178.84x = 775,806.54 × 307,529.96
  4. Step 4: Simplify right side
    562,178.84x = 238,583,754,213.94
  5. Step 5: Solve for x
    x = 238,583,754,213.94/562,178.84
  6. Step 6: Final answer
    x = 424,391.20

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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.