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Finding the Fourth Proportional to 456,924.38, 630,468.16 and 295,757.06

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Solution

The fourth proportional to 456,924.38, 630,468.16 and 295,757.06 is: 408,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,924.38 : 630,468.16 = 295,757.06 : x
  2. Step 2: Convert to fraction form
    456,924.38/630,468.16 = 295,757.06/x
  3. Step 3: Cross multiply
    456,924.38x = 630,468.16 × 295,757.06
  4. Step 4: Simplify right side
    456,924.38x = 186,465,405,533.48
  5. Step 5: Solve for x
    x = 186,465,405,533.48/456,924.38
  6. Step 6: Final answer
    x = 408,088.11

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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.