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Finding the Fourth Proportional to 3,165,573.84, 4,748,319.44 and 769,411.60

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Solution

The fourth proportional to 3,165,573.84, 4,748,319.44 and 769,411.60 is: 1,154,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,573.84 : 4,748,319.44 = 769,411.60 : x
  2. Step 2: Convert to fraction form
    3,165,573.84/4,748,319.44 = 769,411.60/x
  3. Step 3: Cross multiply
    3,165,573.84x = 4,748,319.44 × 769,411.60
  4. Step 4: Simplify right side
    3,165,573.84x = 3,653,412,057,641.50
  5. Step 5: Solve for x
    x = 3,653,412,057,641.50/3,165,573.84
  6. Step 6: Final answer
    x = 1,154,107.36

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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.