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Finding the Fourth Proportional to 370,030.04, 510,642.96 and 200,264.12

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Solution

The fourth proportional to 370,030.04, 510,642.96 and 200,264.12 is: 276,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,030.04 : 510,642.96 = 200,264.12 : x
  2. Step 2: Convert to fraction form
    370,030.04/510,642.96 = 200,264.12/x
  3. Step 3: Cross multiply
    370,030.04x = 510,642.96 × 200,264.12
  4. Step 4: Simplify right side
    370,030.04x = 102,263,463,544.21
  5. Step 5: Solve for x
    x = 102,263,463,544.21/370,030.04
  6. Step 6: Final answer
    x = 276,365.30

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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.