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Finding the Fourth Proportional to 319,411.20, 478,533.60 and 259,924.80

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Solution

The fourth proportional to 319,411.20, 478,533.60 and 259,924.80 is: 389,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,411.20 : 478,533.60 = 259,924.80 : x
  2. Step 2: Convert to fraction form
    319,411.20/478,533.60 = 259,924.80/x
  3. Step 3: Cross multiply
    319,411.20x = 478,533.60 × 259,924.80
  4. Step 4: Simplify right side
    319,411.20x = 124,382,750,273.28
  5. Step 5: Solve for x
    x = 124,382,750,273.28/319,411.20
  6. Step 6: Final answer
    x = 389,412.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.