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Finding the Fourth Proportional to 614,784.84, 848,401.41 and 342,853.03

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Solution

The fourth proportional to 614,784.84, 848,401.41 and 342,853.03 is: 473,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,784.84 : 848,401.41 = 342,853.03 : x
  2. Step 2: Convert to fraction form
    614,784.84/848,401.41 = 342,853.03/x
  3. Step 3: Cross multiply
    614,784.84x = 848,401.41 × 342,853.03
  4. Step 4: Simplify right side
    614,784.84x = 290,876,994,074.77
  5. Step 5: Solve for x
    x = 290,876,994,074.77/614,784.84
  6. Step 6: Final answer
    x = 473,136.25

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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.