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Finding the Fourth Proportional to 456,908.25, 630,445.86 and 295,740.93

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Solution

The fourth proportional to 456,908.25, 630,445.86 and 295,740.93 is: 408,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,908.25 : 630,445.86 = 295,740.93 : x
  2. Step 2: Convert to fraction form
    456,908.25/630,445.86 = 295,740.93/x
  3. Step 3: Cross multiply
    456,908.25x = 630,445.86 × 295,740.93
  4. Step 4: Simplify right side
    456,908.25x = 186,448,644,951.05
  5. Step 5: Solve for x
    x = 186,448,644,951.05/456,908.25
  6. Step 6: Final answer
    x = 408,065.83

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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.