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Finding the Fourth Proportional to 411,231.76, 615,141.68 and 386,037.52

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Solution

The fourth proportional to 411,231.76, 615,141.68 and 386,037.52 is: 577,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,231.76 : 615,141.68 = 386,037.52 : x
  2. Step 2: Convert to fraction form
    411,231.76/615,141.68 = 386,037.52/x
  3. Step 3: Cross multiply
    411,231.76x = 615,141.68 × 386,037.52
  4. Step 4: Simplify right side
    411,231.76x = 237,467,768,595.83
  5. Step 5: Solve for x
    x = 237,467,768,595.83/411,231.76
  6. Step 6: Final answer
    x = 577,454.84

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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.