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Finding the Fourth Proportional to 364,366.40, 546,037.60 and 289,614.40

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Solution

The fourth proportional to 364,366.40, 546,037.60 and 289,614.40 is: 434,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,366.40 : 546,037.60 = 289,614.40 : x
  2. Step 2: Convert to fraction form
    364,366.40/546,037.60 = 289,614.40/x
  3. Step 3: Cross multiply
    364,366.40x = 546,037.60 × 289,614.40
  4. Step 4: Simplify right side
    364,366.40x = 158,140,351,901.44
  5. Step 5: Solve for x
    x = 158,140,351,901.44/364,366.40
  6. Step 6: Final answer
    x = 434,014.64

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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.