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Finding the Fourth Proportional to 511,759.16, 705,999.36 and 296,774.72

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Solution

The fourth proportional to 511,759.16, 705,999.36 and 296,774.72 is: 409,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,759.16 : 705,999.36 = 296,774.72 : x
  2. Step 2: Convert to fraction form
    511,759.16/705,999.36 = 296,774.72/x
  3. Step 3: Cross multiply
    511,759.16x = 705,999.36 × 296,774.72
  4. Step 4: Simplify right side
    511,759.16x = 209,522,762,384.18
  5. Step 5: Solve for x
    x = 209,522,762,384.18/511,759.16
  6. Step 6: Final answer
    x = 409,416.73

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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.