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Finding the Fourth Proportional to 404,742.40, 567,468.80 and 404,742.40

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Solution

The fourth proportional to 404,742.40, 567,468.80 and 404,742.40 is: 567,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,742.40 : 567,468.80 = 404,742.40 : x
  2. Step 2: Convert to fraction form
    404,742.40/567,468.80 = 404,742.40/x
  3. Step 3: Cross multiply
    404,742.40x = 567,468.80 × 404,742.40
  4. Step 4: Simplify right side
    404,742.40x = 229,678,684,037.12
  5. Step 5: Solve for x
    x = 229,678,684,037.12/404,742.40
  6. Step 6: Final answer
    x = 567,468.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.