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Finding the Fourth Proportional to 511,062.41, 705,266.19 and 296,327.05

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Solution

The fourth proportional to 511,062.41, 705,266.19 and 296,327.05 is: 408,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,062.41 : 705,266.19 = 296,327.05 : x
  2. Step 2: Convert to fraction form
    511,062.41/705,266.19 = 296,327.05/x
  3. Step 3: Cross multiply
    511,062.41x = 705,266.19 × 296,327.05
  4. Step 4: Simplify right side
    511,062.41x = 208,989,447,784.27
  5. Step 5: Solve for x
    x = 208,989,447,784.27/511,062.41
  6. Step 6: Final answer
    x = 408,931.36

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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.