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Finding the Fourth Proportional to 511,077.07, 705,300.93 and 284,737.15

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Solution

The fourth proportional to 511,077.07, 705,300.93 and 284,737.15 is: 392,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,077.07 : 705,300.93 = 284,737.15 : x
  2. Step 2: Convert to fraction form
    511,077.07/705,300.93 = 284,737.15/x
  3. Step 3: Cross multiply
    511,077.07x = 705,300.93 × 284,737.15
  4. Step 4: Simplify right side
    511,077.07x = 200,825,376,700.55
  5. Step 5: Solve for x
    x = 200,825,376,700.55/511,077.07
  6. Step 6: Final answer
    x = 392,945.39

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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.