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Finding the Fourth Proportional to 463,042.04, 698,033.73 and 432,179.80

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Solution

The fourth proportional to 463,042.04, 698,033.73 and 432,179.80 is: 651,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,042.04 : 698,033.73 = 432,179.80 : x
  2. Step 2: Convert to fraction form
    463,042.04/698,033.73 = 432,179.80/x
  3. Step 3: Cross multiply
    463,042.04x = 698,033.73 × 432,179.80
  4. Step 4: Simplify right side
    463,042.04x = 301,676,077,824.65
  5. Step 5: Solve for x
    x = 301,676,077,824.65/463,042.04
  6. Step 6: Final answer
    x = 651,509.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.