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Finding the Fourth Proportional to 878,477, 1,212,298.32 and 476,069

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Solution

The fourth proportional to 878,477, 1,212,298.32 and 476,069 is: 656,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,477 : 1,212,298.32 = 476,069 : x
  2. Step 2: Convert to fraction form
    878,477/1,212,298.32 = 476,069/x
  3. Step 3: Cross multiply
    878,477x = 1,212,298.32 × 476,069
  4. Step 4: Simplify right side
    878,477x = 577,137,648,904.08
  5. Step 5: Solve for x
    x = 577,137,648,904.08/878,477
  6. Step 6: Final answer
    x = 656,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.