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Finding the Fourth Proportional to 294,946.50, 442,421.37 and 73,330.50

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Solution

The fourth proportional to 294,946.50, 442,421.37 and 73,330.50 is: 109,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,946.50 : 442,421.37 = 73,330.50 : x
  2. Step 2: Convert to fraction form
    294,946.50/442,421.37 = 73,330.50/x
  3. Step 3: Cross multiply
    294,946.50x = 442,421.37 × 73,330.50
  4. Step 4: Simplify right side
    294,946.50x = 32,442,980,272.79
  5. Step 5: Solve for x
    x = 32,442,980,272.79/294,946.50
  6. Step 6: Final answer
    x = 109,996.15

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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.