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Finding the Fourth Proportional to 614,494.84, 848,006.40 and 342,580

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Solution

The fourth proportional to 614,494.84, 848,006.40 and 342,580 is: 472,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,494.84 : 848,006.40 = 342,580 : x
  2. Step 2: Convert to fraction form
    614,494.84/848,006.40 = 342,580/x
  3. Step 3: Cross multiply
    614,494.84x = 848,006.40 × 342,580
  4. Step 4: Simplify right side
    614,494.84x = 290,510,032,512
  5. Step 5: Solve for x
    x = 290,510,032,512/614,494.84
  6. Step 6: Final answer
    x = 472,762.36

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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.