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Finding the Fourth Proportional to 511,011.32, 705,039.54 and 296,109.92

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Solution

The fourth proportional to 511,011.32, 705,039.54 and 296,109.92 is: 408,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,011.32 : 705,039.54 = 296,109.92 : x
  2. Step 2: Convert to fraction form
    511,011.32/705,039.54 = 296,109.92/x
  3. Step 3: Cross multiply
    511,011.32x = 705,039.54 × 296,109.92
  4. Step 4: Simplify right side
    511,011.32x = 208,769,201,786.24
  5. Step 5: Solve for x
    x = 208,769,201,786.24/511,011.32
  6. Step 6: Final answer
    x = 408,541.25

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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.