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Finding the Fourth Proportional to 456,892.25, 630,423.81 and 295,724.93

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Solution

The fourth proportional to 456,892.25, 630,423.81 and 295,724.93 is: 408,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,892.25 : 630,423.81 = 295,724.93 : x
  2. Step 2: Convert to fraction form
    456,892.25/630,423.81 = 295,724.93/x
  3. Step 3: Cross multiply
    456,892.25x = 630,423.81 × 295,724.93
  4. Step 4: Simplify right side
    456,892.25x = 186,432,037,082.58
  5. Step 5: Solve for x
    x = 186,432,037,082.58/456,892.25
  6. Step 6: Final answer
    x = 408,043.77

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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.