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Finding the Fourth Proportional to 294,871.40, 442,307.10 and 73,255.40

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Solution

The fourth proportional to 294,871.40, 442,307.10 and 73,255.40 is: 109,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,871.40 : 442,307.10 = 73,255.40 : x
  2. Step 2: Convert to fraction form
    294,871.40/442,307.10 = 73,255.40/x
  3. Step 3: Cross multiply
    294,871.40x = 442,307.10 × 73,255.40
  4. Step 4: Simplify right side
    294,871.40x = 32,401,383,533.34
  5. Step 5: Solve for x
    x = 32,401,383,533.34/294,871.40
  6. Step 6: Final answer
    x = 109,883.10

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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.