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Finding the Fourth Proportional to 510,037.93, 703,838.21 and 277,457.16

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Solution

The fourth proportional to 510,037.93, 703,838.21 and 277,457.16 is: 382,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,037.93 : 703,838.21 = 277,457.16 : x
  2. Step 2: Convert to fraction form
    510,037.93/703,838.21 = 277,457.16/x
  3. Step 3: Cross multiply
    510,037.93x = 703,838.21 × 277,457.16
  4. Step 4: Simplify right side
    510,037.93x = 195,284,950,846.08
  5. Step 5: Solve for x
    x = 195,284,950,846.08/510,037.93
  6. Step 6: Final answer
    x = 382,883.19

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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.