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Finding the Fourth Proportional to 576,064.80, 864,097.20 and 339,868.80

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Solution

The fourth proportional to 576,064.80, 864,097.20 and 339,868.80 is: 509,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,064.80 : 864,097.20 = 339,868.80 : x
  2. Step 2: Convert to fraction form
    576,064.80/864,097.20 = 339,868.80/x
  3. Step 3: Cross multiply
    576,064.80x = 864,097.20 × 339,868.80
  4. Step 4: Simplify right side
    576,064.80x = 293,679,678,447.36
  5. Step 5: Solve for x
    x = 293,679,678,447.36/576,064.80
  6. Step 6: Final answer
    x = 509,803.20

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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.