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Finding the Fourth Proportional to 457,132.80, 684,532.80 and 363,820.80

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Solution

The fourth proportional to 457,132.80, 684,532.80 and 363,820.80 is: 544,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,132.80 : 684,532.80 = 363,820.80 : x
  2. Step 2: Convert to fraction form
    457,132.80/684,532.80 = 363,820.80/x
  3. Step 3: Cross multiply
    457,132.80x = 684,532.80 × 363,820.80
  4. Step 4: Simplify right side
    457,132.80x = 249,047,270,922.24
  5. Step 5: Solve for x
    x = 249,047,270,922.24/457,132.80
  6. Step 6: Final answer
    x = 544,802.89

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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.