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Finding the Fourth Proportional to 614,968.43, 848,657.70 and 343,029.29

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Solution

The fourth proportional to 614,968.43, 848,657.70 and 343,029.29 is: 473,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,968.43 : 848,657.70 = 343,029.29 : x
  2. Step 2: Convert to fraction form
    614,968.43/848,657.70 = 343,029.29/x
  3. Step 3: Cross multiply
    614,968.43x = 848,657.70 × 343,029.29
  4. Step 4: Simplify right side
    614,968.43x = 291,114,444,040.74
  5. Step 5: Solve for x
    x = 291,114,444,040.74/614,968.43
  6. Step 6: Final answer
    x = 473,381.12

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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.