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Finding the Fourth Proportional to 370,700.68, 511,567.16 and 200,934.81

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Solution

The fourth proportional to 370,700.68, 511,567.16 and 200,934.81 is: 277,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,700.68 : 511,567.16 = 200,934.81 : x
  2. Step 2: Convert to fraction form
    370,700.68/511,567.16 = 200,934.81/x
  3. Step 3: Cross multiply
    370,700.68x = 511,567.16 × 200,934.81
  4. Step 4: Simplify right side
    370,700.68x = 102,791,648,041.34
  5. Step 5: Solve for x
    x = 102,791,648,041.34/370,700.68
  6. Step 6: Final answer
    x = 277,290.15

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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.