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Finding the Fourth Proportional to 510,904.17, 705,069.54 and 284,549.67

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Solution

The fourth proportional to 510,904.17, 705,069.54 and 284,549.67 is: 392,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,904.17 : 705,069.54 = 284,549.67 : x
  2. Step 2: Convert to fraction form
    510,904.17/705,069.54 = 284,549.67/x
  3. Step 3: Cross multiply
    510,904.17x = 705,069.54 × 284,549.67
  4. Step 4: Simplify right side
    510,904.17x = 200,627,304,934.05
  5. Step 5: Solve for x
    x = 200,627,304,934.05/510,904.17
  6. Step 6: Final answer
    x = 392,690.68

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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.