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Finding the Fourth Proportional to 367,905.58, 507,711.48 and 214,952.50

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Solution

The fourth proportional to 367,905.58, 507,711.48 and 214,952.50 is: 296,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,905.58 : 507,711.48 = 214,952.50 : x
  2. Step 2: Convert to fraction form
    367,905.58/507,711.48 = 214,952.50/x
  3. Step 3: Cross multiply
    367,905.58x = 507,711.48 × 214,952.50
  4. Step 4: Simplify right side
    367,905.58x = 109,133,851,904.70
  5. Step 5: Solve for x
    x = 109,133,851,904.70/367,905.58
  6. Step 6: Final answer
    x = 296,635.49

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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.