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Finding the Fourth Proportional to 370,586.04, 511,409.39 and 200,820.16

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Solution

The fourth proportional to 370,586.04, 511,409.39 and 200,820.16 is: 277,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,586.04 : 511,409.39 = 200,820.16 : x
  2. Step 2: Convert to fraction form
    370,586.04/511,409.39 = 200,820.16/x
  3. Step 3: Cross multiply
    370,586.04x = 511,409.39 × 200,820.16
  4. Step 4: Simplify right side
    370,586.04x = 102,701,315,525.30
  5. Step 5: Solve for x
    x = 102,701,315,525.30/370,586.04
  6. Step 6: Final answer
    x = 277,132.18

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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.