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Finding the Fourth Proportional to 511,365.33, 705,527.78 and 296,462.51

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Solution

The fourth proportional to 511,365.33, 705,527.78 and 296,462.51 is: 409,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,365.33 : 705,527.78 = 296,462.51 : x
  2. Step 2: Convert to fraction form
    511,365.33/705,527.78 = 296,462.51/x
  3. Step 3: Cross multiply
    511,365.33x = 705,527.78 × 296,462.51
  4. Step 4: Simplify right side
    511,365.33x = 209,162,535,792.37
  5. Step 5: Solve for x
    x = 209,162,535,792.37/511,365.33
  6. Step 6: Final answer
    x = 409,027.60

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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.