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Finding the Fourth Proportional to 575,736.96, 794,520.72 and 334,164

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Solution

The fourth proportional to 575,736.96, 794,520.72 and 334,164 is: 461,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,736.96 : 794,520.72 = 334,164 : x
  2. Step 2: Convert to fraction form
    575,736.96/794,520.72 = 334,164/x
  3. Step 3: Cross multiply
    575,736.96x = 794,520.72 × 334,164
  4. Step 4: Simplify right side
    575,736.96x = 265,500,221,878.08
  5. Step 5: Solve for x
    x = 265,500,221,878.08/575,736.96
  6. Step 6: Final answer
    x = 461,148.48

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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.