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Finding the Fourth Proportional to 475,468.90, 656,217.51 and 301,055.32

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Solution

The fourth proportional to 475,468.90, 656,217.51 and 301,055.32 is: 415,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,468.90 : 656,217.51 = 301,055.32 : x
  2. Step 2: Convert to fraction form
    475,468.90/656,217.51 = 301,055.32/x
  3. Step 3: Cross multiply
    475,468.90x = 656,217.51 × 301,055.32
  4. Step 4: Simplify right side
    475,468.90x = 197,557,772,475.88
  5. Step 5: Solve for x
    x = 197,557,772,475.88/475,468.90
  6. Step 6: Final answer
    x = 415,500.93

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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.