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Finding the Fourth Proportional to 511,069.98, 705,290.58 and 284,715.48

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Solution

The fourth proportional to 511,069.98, 705,290.58 and 284,715.48 is: 392,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,069.98 : 705,290.58 = 284,715.48 : x
  2. Step 2: Convert to fraction form
    511,069.98/705,290.58 = 284,715.48/x
  3. Step 3: Cross multiply
    511,069.98x = 705,290.58 × 284,715.48
  4. Step 4: Simplify right side
    511,069.98x = 200,807,146,024.18
  5. Step 5: Solve for x
    x = 200,807,146,024.18/511,069.98
  6. Step 6: Final answer
    x = 392,915.17

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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.