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Finding the Fourth Proportional to 633,714.52, 874,198.92 and 429,696.40

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Solution

The fourth proportional to 633,714.52, 874,198.92 and 429,696.40 is: 592,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,714.52 : 874,198.92 = 429,696.40 : x
  2. Step 2: Convert to fraction form
    633,714.52/874,198.92 = 429,696.40/x
  3. Step 3: Cross multiply
    633,714.52x = 874,198.92 × 429,696.40
  4. Step 4: Simplify right side
    633,714.52x = 375,640,128,807.89
  5. Step 5: Solve for x
    x = 375,640,128,807.89/633,714.52
  6. Step 6: Final answer
    x = 592,759.23

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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.