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Finding the Fourth Proportional to 519,640.62, 717,164.56 and 432,271.38

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Solution

The fourth proportional to 519,640.62, 717,164.56 and 432,271.38 is: 596,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,640.62 : 717,164.56 = 432,271.38 : x
  2. Step 2: Convert to fraction form
    519,640.62/717,164.56 = 432,271.38/x
  3. Step 3: Cross multiply
    519,640.62x = 717,164.56 × 432,271.38
  4. Step 4: Simplify right side
    519,640.62x = 310,009,714,038.29
  5. Step 5: Solve for x
    x = 310,009,714,038.29/519,640.62
  6. Step 6: Final answer
    x = 596,584.84

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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.