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Finding the Fourth Proportional to 472,736.96, 652,362.72 and 257,880.32

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Solution

The fourth proportional to 472,736.96, 652,362.72 and 257,880.32 is: 355,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,736.96 : 652,362.72 = 257,880.32 : x
  2. Step 2: Convert to fraction form
    472,736.96/652,362.72 = 257,880.32/x
  3. Step 3: Cross multiply
    472,736.96x = 652,362.72 × 257,880.32
  4. Step 4: Simplify right side
    472,736.96x = 168,231,506,989.67
  5. Step 5: Solve for x
    x = 168,231,506,989.67/472,736.96
  6. Step 6: Final answer
    x = 355,867.05

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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.