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Finding the Fourth Proportional to 459,453.84, 688,477.32 and 309,137.28

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Solution

The fourth proportional to 459,453.84, 688,477.32 and 309,137.28 is: 463,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,453.84 : 688,477.32 = 309,137.28 : x
  2. Step 2: Convert to fraction form
    459,453.84/688,477.32 = 309,137.28/x
  3. Step 3: Cross multiply
    459,453.84x = 688,477.32 × 309,137.28
  4. Step 4: Simplify right side
    459,453.84x = 212,834,006,046.49
  5. Step 5: Solve for x
    x = 212,834,006,046.49/459,453.84
  6. Step 6: Final answer
    x = 463,232.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.