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Finding the Fourth Proportional to 384,329.60, 575,716.80 and 266,134.40

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Solution

The fourth proportional to 384,329.60, 575,716.80 and 266,134.40 is: 398,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,329.60 : 575,716.80 = 266,134.40 : x
  2. Step 2: Convert to fraction form
    384,329.60/575,716.80 = 266,134.40/x
  3. Step 3: Cross multiply
    384,329.60x = 575,716.80 × 266,134.40
  4. Step 4: Simplify right side
    384,329.60x = 153,218,045,137.92
  5. Step 5: Solve for x
    x = 153,218,045,137.92/384,329.60
  6. Step 6: Final answer
    x = 398,663.14

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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.