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Finding the Fourth Proportional to 462,848.70, 694,273.05 and 384,116.70

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Solution

The fourth proportional to 462,848.70, 694,273.05 and 384,116.70 is: 576,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,848.70 : 694,273.05 = 384,116.70 : x
  2. Step 2: Convert to fraction form
    462,848.70/694,273.05 = 384,116.70/x
  3. Step 3: Cross multiply
    462,848.70x = 694,273.05 × 384,116.70
  4. Step 4: Simplify right side
    462,848.70x = 266,681,872,864.94
  5. Step 5: Solve for x
    x = 266,681,872,864.94/462,848.70
  6. Step 6: Final answer
    x = 576,175.05

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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.