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Finding the Fourth Proportional to 510,907.16, 705,073.68 and 284,552.68

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Solution

The fourth proportional to 510,907.16, 705,073.68 and 284,552.68 is: 392,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,907.16 : 705,073.68 = 284,552.68 : x
  2. Step 2: Convert to fraction form
    510,907.16/705,073.68 = 284,552.68/x
  3. Step 3: Cross multiply
    510,907.16x = 705,073.68 × 284,552.68
  4. Step 4: Simplify right side
    510,907.16x = 200,630,605,241.46
  5. Step 5: Solve for x
    x = 200,630,605,241.46/510,907.16
  6. Step 6: Final answer
    x = 392,694.84

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1.5x scale

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.