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Finding the Fourth Proportional to 576,064.74, 794,842.08 and 334,207.22

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Solution

The fourth proportional to 576,064.74, 794,842.08 and 334,207.22 is: 461,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,064.74 : 794,842.08 = 334,207.22 : x
  2. Step 2: Convert to fraction form
    576,064.74/794,842.08 = 334,207.22/x
  3. Step 3: Cross multiply
    576,064.74x = 794,842.08 × 334,207.22
  4. Step 4: Simplify right side
    576,064.74x = 265,641,961,895.82
  5. Step 5: Solve for x
    x = 265,641,961,895.82/576,064.74
  6. Step 6: Final answer
    x = 461,132.13

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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.