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Finding the Fourth Proportional to 614,718, 848,325.84 and 342,783.24

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Solution

The fourth proportional to 614,718, 848,325.84 and 342,783.24 is: 473,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,718 : 848,325.84 = 342,783.24 : x
  2. Step 2: Convert to fraction form
    614,718/848,325.84 = 342,783.24/x
  3. Step 3: Cross multiply
    614,718x = 848,325.84 × 342,783.24
  4. Step 4: Simplify right side
    614,718x = 290,791,880,010.92
  5. Step 5: Solve for x
    x = 290,791,880,010.92/614,718
  6. Step 6: Final answer
    x = 473,049.24

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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.