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Finding the Fourth Proportional to 575,933.25, 794,689.47 and 334,160.40

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Solution

The fourth proportional to 575,933.25, 794,689.47 and 334,160.40 is: 461,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,933.25 : 794,689.47 = 334,160.40 : x
  2. Step 2: Convert to fraction form
    575,933.25/794,689.47 = 334,160.40/x
  3. Step 3: Cross multiply
    575,933.25x = 794,689.47 × 334,160.40
  4. Step 4: Simplify right side
    575,933.25x = 265,553,751,170.99
  5. Step 5: Solve for x
    x = 265,553,751,170.99/575,933.25
  6. Step 6: Final answer
    x = 461,084.25

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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.