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Finding the Fourth Proportional to 611,043.48, 916,346.52 and 211,576.98

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Solution

The fourth proportional to 611,043.48, 916,346.52 and 211,576.98 is: 317,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,043.48 : 916,346.52 = 211,576.98 : x
  2. Step 2: Convert to fraction form
    611,043.48/916,346.52 = 211,576.98/x
  3. Step 3: Cross multiply
    611,043.48x = 916,346.52 × 211,576.98
  4. Step 4: Simplify right side
    611,043.48x = 193,877,829,335.11
  5. Step 5: Solve for x
    x = 193,877,829,335.11/611,043.48
  6. Step 6: Final answer
    x = 317,289.74

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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.