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Finding the Fourth Proportional to 370,570.90, 511,387.41 and 200,804.98

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Solution

The fourth proportional to 370,570.90, 511,387.41 and 200,804.98 is: 277,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,570.90 : 511,387.41 = 200,804.98 : x
  2. Step 2: Convert to fraction form
    370,570.90/511,387.41 = 200,804.98/x
  3. Step 3: Cross multiply
    370,570.90x = 511,387.41 × 200,804.98
  4. Step 4: Simplify right side
    370,570.90x = 102,689,138,637.30
  5. Step 5: Solve for x
    x = 102,689,138,637.30/370,570.90
  6. Step 6: Final answer
    x = 277,110.64

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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.