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Finding the Fourth Proportional to 614,953.22, 848,636.73 and 343,014.12

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Solution

The fourth proportional to 614,953.22, 848,636.73 and 343,014.12 is: 473,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,953.22 : 848,636.73 = 343,014.12 : x
  2. Step 2: Convert to fraction form
    614,953.22/848,636.73 = 343,014.12/x
  3. Step 3: Cross multiply
    614,953.22x = 848,636.73 × 343,014.12
  4. Step 4: Simplify right side
    614,953.22x = 291,094,381,140.63
  5. Step 5: Solve for x
    x = 291,094,381,140.63/614,953.22
  6. Step 6: Final answer
    x = 473,360.21

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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.