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Finding the Fourth Proportional to 562,304.27, 842,938.95 and 305,762.04

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Solution

The fourth proportional to 562,304.27, 842,938.95 and 305,762.04 is: 458,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,304.27 : 842,938.95 = 305,762.04 : x
  2. Step 2: Convert to fraction form
    562,304.27/842,938.95 = 305,762.04/x
  3. Step 3: Cross multiply
    562,304.27x = 842,938.95 × 305,762.04
  4. Step 4: Simplify right side
    562,304.27x = 257,738,732,947.46
  5. Step 5: Solve for x
    x = 257,738,732,947.46/562,304.27
  6. Step 6: Final answer
    x = 458,361.69

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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.