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Finding the Fourth Proportional to 457,314.80, 684,805.80 and 364,002.80

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Solution

The fourth proportional to 457,314.80, 684,805.80 and 364,002.80 is: 545,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,314.80 : 684,805.80 = 364,002.80 : x
  2. Step 2: Convert to fraction form
    457,314.80/684,805.80 = 364,002.80/x
  3. Step 3: Cross multiply
    457,314.80x = 684,805.80 × 364,002.80
  4. Step 4: Simplify right side
    457,314.80x = 249,271,228,656.24
  5. Step 5: Solve for x
    x = 249,271,228,656.24/457,314.80
  6. Step 6: Final answer
    x = 545,075.80

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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.