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Finding the Fourth Proportional to 370,585.04, 511,408.01 and 200,819.16

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Solution

The fourth proportional to 370,585.04, 511,408.01 and 200,819.16 is: 277,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,585.04 : 511,408.01 = 200,819.16 : x
  2. Step 2: Convert to fraction form
    370,585.04/511,408.01 = 200,819.16/x
  3. Step 3: Cross multiply
    370,585.04x = 511,408.01 × 200,819.16
  4. Step 4: Simplify right side
    370,585.04x = 102,700,527,487.52
  5. Step 5: Solve for x
    x = 102,700,527,487.52/370,585.04
  6. Step 6: Final answer
    x = 277,130.80

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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.