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Finding the Fourth Proportional to 510,656.62, 704,662.58 and 284,323.18

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Solution

The fourth proportional to 510,656.62, 704,662.58 and 284,323.18 is: 392,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,656.62 : 704,662.58 = 284,323.18 : x
  2. Step 2: Convert to fraction form
    510,656.62/704,662.58 = 284,323.18/x
  3. Step 3: Cross multiply
    510,656.62x = 704,662.58 × 284,323.18
  4. Step 4: Simplify right side
    510,656.62x = 200,351,905,572.60
  5. Step 5: Solve for x
    x = 200,351,905,572.60/510,656.62
  6. Step 6: Final answer
    x = 392,341.74

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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.