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Finding the Fourth Proportional to 319,468.60, 478,205.70 and 235,323.64

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Solution

The fourth proportional to 319,468.60, 478,205.70 and 235,323.64 is: 352,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,468.60 : 478,205.70 = 235,323.64 : x
  2. Step 2: Convert to fraction form
    319,468.60/478,205.70 = 235,323.64/x
  3. Step 3: Cross multiply
    319,468.60x = 478,205.70 × 235,323.64
  4. Step 4: Simplify right side
    319,468.60x = 112,533,105,992.75
  5. Step 5: Solve for x
    x = 112,533,105,992.75/319,468.60
  6. Step 6: Final answer
    x = 352,250.91

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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.