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Finding the Fourth Proportional to 511,164.08, 705,409.32 and 296,431.64

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Solution

The fourth proportional to 511,164.08, 705,409.32 and 296,431.64 is: 409,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164.08 : 705,409.32 = 296,431.64 : x
  2. Step 2: Convert to fraction form
    511,164.08/705,409.32 = 296,431.64/x
  3. Step 3: Cross multiply
    511,164.08x = 705,409.32 × 296,431.64
  4. Step 4: Simplify right side
    511,164.08x = 209,105,641,598.89
  5. Step 5: Solve for x
    x = 209,105,641,598.89/511,164.08
  6. Step 6: Final answer
    x = 409,077.34

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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.