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Finding the Fourth Proportional to 523,180.04, 722,207.70 and 353,643.80

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Solution

The fourth proportional to 523,180.04, 722,207.70 and 353,643.80 is: 488,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,180.04 : 722,207.70 = 353,643.80 : x
  2. Step 2: Convert to fraction form
    523,180.04/722,207.70 = 353,643.80/x
  3. Step 3: Cross multiply
    523,180.04x = 722,207.70 × 353,643.80
  4. Step 4: Simplify right side
    523,180.04x = 255,404,275,417.26
  5. Step 5: Solve for x
    x = 255,404,275,417.26/523,180.04
  6. Step 6: Final answer
    x = 488,176.64

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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.