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Finding the Fourth Proportional to 562,206.85, 775,863.81 and 307,558.04

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Solution

The fourth proportional to 562,206.85, 775,863.81 and 307,558.04 is: 424,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,206.85 : 775,863.81 = 307,558.04 : x
  2. Step 2: Convert to fraction form
    562,206.85/775,863.81 = 307,558.04/x
  3. Step 3: Cross multiply
    562,206.85x = 775,863.81 × 307,558.04
  4. Step 4: Simplify right side
    562,206.85x = 238,623,152,710.53
  5. Step 5: Solve for x
    x = 238,623,152,710.53/562,206.85
  6. Step 6: Final answer
    x = 424,440.14

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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.