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Finding the Fourth Proportional to 511,512.02, 705,870.40 and 282,078.98

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Solution

The fourth proportional to 511,512.02, 705,870.40 and 282,078.98 is: 389,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,512.02 : 705,870.40 = 282,078.98 : x
  2. Step 2: Convert to fraction form
    511,512.02/705,870.40 = 282,078.98/x
  3. Step 3: Cross multiply
    511,512.02x = 705,870.40 × 282,078.98
  4. Step 4: Simplify right side
    511,512.02x = 199,111,202,444.19
  5. Step 5: Solve for x
    x = 199,111,202,444.19/511,512.02
  6. Step 6: Final answer
    x = 389,260.07

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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.