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Finding the Fourth Proportional to 414,686.94, 571,468.95 and 301,330.14

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Solution

The fourth proportional to 414,686.94, 571,468.95 and 301,330.14 is: 415,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,686.94 : 571,468.95 = 301,330.14 : x
  2. Step 2: Convert to fraction form
    414,686.94/571,468.95 = 301,330.14/x
  3. Step 3: Cross multiply
    414,686.94x = 571,468.95 × 301,330.14
  4. Step 4: Simplify right side
    414,686.94x = 172,200,818,709.15
  5. Step 5: Solve for x
    x = 172,200,818,709.15/414,686.94
  6. Step 6: Final answer
    x = 415,254.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.