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Finding the Fourth Proportional to 459,400.50, 633,972.69 and 258,196.50

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Solution

The fourth proportional to 459,400.50, 633,972.69 and 258,196.50 is: 356,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,400.50 : 633,972.69 = 258,196.50 : x
  2. Step 2: Convert to fraction form
    459,400.50/633,972.69 = 258,196.50/x
  3. Step 3: Cross multiply
    459,400.50x = 633,972.69 × 258,196.50
  4. Step 4: Simplify right side
    459,400.50x = 163,689,529,653.59
  5. Step 5: Solve for x
    x = 163,689,529,653.59/459,400.50
  6. Step 6: Final answer
    x = 356,311.17

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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.