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Finding the Fourth Proportional to 611,384.20, 917,076.30 and 546,065.80

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Solution

The fourth proportional to 611,384.20, 917,076.30 and 546,065.80 is: 819,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,384.20 : 917,076.30 = 546,065.80 : x
  2. Step 2: Convert to fraction form
    611,384.20/917,076.30 = 546,065.80/x
  3. Step 3: Cross multiply
    611,384.20x = 917,076.30 × 546,065.80
  4. Step 4: Simplify right side
    611,384.20x = 500,784,003,420.54
  5. Step 5: Solve for x
    x = 500,784,003,420.54/611,384.20
  6. Step 6: Final answer
    x = 819,098.70

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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.