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Finding the Fourth Proportional to 402,792.63, 604,149.71 and 122,312.31

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Solution

The fourth proportional to 402,792.63, 604,149.71 and 122,312.31 is: 183,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,792.63 : 604,149.71 = 122,312.31 : x
  2. Step 2: Convert to fraction form
    402,792.63/604,149.71 = 122,312.31/x
  3. Step 3: Cross multiply
    402,792.63x = 604,149.71 × 122,312.31
  4. Step 4: Simplify right side
    402,792.63x = 73,894,946,004.37
  5. Step 5: Solve for x
    x = 73,894,946,004.37/402,792.63
  6. Step 6: Final answer
    x = 183,456.55

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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.