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Finding the Fourth Proportional to 510,860.63, 705,009.54 and 284,506.13

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Solution

The fourth proportional to 510,860.63, 705,009.54 and 284,506.13 is: 392,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,860.63 : 705,009.54 = 284,506.13 : x
  2. Step 2: Convert to fraction form
    510,860.63/705,009.54 = 284,506.13/x
  3. Step 3: Cross multiply
    510,860.63x = 705,009.54 × 284,506.13
  4. Step 4: Simplify right side
    510,860.63x = 200,579,532,313.43
  5. Step 5: Solve for x
    x = 200,579,532,313.43/510,860.63
  6. Step 6: Final answer
    x = 392,630.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.