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Finding the Fourth Proportional to 601,540.70, 830,094.53 and 343,407.47

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Solution

The fourth proportional to 601,540.70, 830,094.53 and 343,407.47 is: 473,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,540.70 : 830,094.53 = 343,407.47 : x
  2. Step 2: Convert to fraction form
    601,540.70/830,094.53 = 343,407.47/x
  3. Step 3: Cross multiply
    601,540.70x = 830,094.53 × 343,407.47
  4. Step 4: Simplify right side
    601,540.70x = 285,060,656,540.63
  5. Step 5: Solve for x
    x = 285,060,656,540.63/601,540.70
  6. Step 6: Final answer
    x = 473,884.24

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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.