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Finding the Fourth Proportional to 452,421.93, 678,649.14 and 227,659.98

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Solution

The fourth proportional to 452,421.93, 678,649.14 and 227,659.98 is: 341,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,421.93 : 678,649.14 = 227,659.98 : x
  2. Step 2: Convert to fraction form
    452,421.93/678,649.14 = 227,659.98/x
  3. Step 3: Cross multiply
    452,421.93x = 678,649.14 × 227,659.98
  4. Step 4: Simplify right side
    452,421.93x = 154,501,249,639.42
  5. Step 5: Solve for x
    x = 154,501,249,639.42/452,421.93
  6. Step 6: Final answer
    x = 341,498.14

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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.