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Finding the Fourth Proportional to 382,438.31, 575,934.12 and 333,114.17

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Solution

The fourth proportional to 382,438.31, 575,934.12 and 333,114.17 is: 501,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,438.31 : 575,934.12 = 333,114.17 : x
  2. Step 2: Convert to fraction form
    382,438.31/575,934.12 = 333,114.17/x
  3. Step 3: Cross multiply
    382,438.31x = 575,934.12 × 333,114.17
  4. Step 4: Simplify right side
    382,438.31x = 191,851,813,478.81
  5. Step 5: Solve for x
    x = 191,851,813,478.81/382,438.31
  6. Step 6: Final answer
    x = 501,654.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.