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Finding the Fourth Proportional to 544,047.40, 816,848.70 and 307,851.40

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Solution

The fourth proportional to 544,047.40, 816,848.70 and 307,851.40 is: 462,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,047.40 : 816,848.70 = 307,851.40 : x
  2. Step 2: Convert to fraction form
    544,047.40/816,848.70 = 307,851.40/x
  3. Step 3: Cross multiply
    544,047.40x = 816,848.70 × 307,851.40
  4. Step 4: Simplify right side
    544,047.40x = 251,468,015,883.18
  5. Step 5: Solve for x
    x = 251,468,015,883.18/544,047.40
  6. Step 6: Final answer
    x = 462,217.11

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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.