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Finding the Fourth Proportional to 370,412.08, 511,168.16 and 200,646.88

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Solution

The fourth proportional to 370,412.08, 511,168.16 and 200,646.88 is: 276,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,412.08 : 511,168.16 = 200,646.88 : x
  2. Step 2: Convert to fraction form
    370,412.08/511,168.16 = 200,646.88/x
  3. Step 3: Cross multiply
    370,412.08x = 511,168.16 × 200,646.88
  4. Step 4: Simplify right side
    370,412.08x = 102,564,296,459.34
  5. Step 5: Solve for x
    x = 102,564,296,459.34/370,412.08
  6. Step 6: Final answer
    x = 276,892.42

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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.