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Finding the Fourth Proportional to 459,718.53, 634,052.08 and 298,625.46

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Solution

The fourth proportional to 459,718.53, 634,052.08 and 298,625.46 is: 411,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,718.53 : 634,052.08 = 298,625.46 : x
  2. Step 2: Convert to fraction form
    459,718.53/634,052.08 = 298,625.46/x
  3. Step 3: Cross multiply
    459,718.53x = 634,052.08 × 298,625.46
  4. Step 4: Simplify right side
    459,718.53x = 189,344,094,053.96
  5. Step 5: Solve for x
    x = 189,344,094,053.96/459,718.53
  6. Step 6: Final answer
    x = 411,869.62

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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.