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Finding the Fourth Proportional to 459,341.64, 633,895.38 and 298,257.48

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Solution

The fourth proportional to 459,341.64, 633,895.38 and 298,257.48 is: 411,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,341.64 : 633,895.38 = 298,257.48 : x
  2. Step 2: Convert to fraction form
    459,341.64/633,895.38 = 298,257.48/x
  3. Step 3: Cross multiply
    459,341.64x = 633,895.38 × 298,257.48
  4. Step 4: Simplify right side
    459,341.64x = 189,064,038,622.44
  5. Step 5: Solve for x
    x = 189,064,038,622.44/459,341.64
  6. Step 6: Final answer
    x = 411,597.87

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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.