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Finding the Fourth Proportional to 431,066.28, 594,872.16 and 249,813.12

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Solution

The fourth proportional to 431,066.28, 594,872.16 and 249,813.12 is: 344,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,066.28 : 594,872.16 = 249,813.12 : x
  2. Step 2: Convert to fraction form
    431,066.28/594,872.16 = 249,813.12/x
  3. Step 3: Cross multiply
    431,066.28x = 594,872.16 × 249,813.12
  4. Step 4: Simplify right side
    431,066.28x = 148,606,870,290.74
  5. Step 5: Solve for x
    x = 148,606,870,290.74/431,066.28
  6. Step 6: Final answer
    x = 344,742.51

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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.