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Finding the Fourth Proportional to 319,095.20, 478,059.60 and 194,290.40

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Solution

The fourth proportional to 319,095.20, 478,059.60 and 194,290.40 is: 291,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,095.20 : 478,059.60 = 194,290.40 : x
  2. Step 2: Convert to fraction form
    319,095.20/478,059.60 = 194,290.40/x
  3. Step 3: Cross multiply
    319,095.20x = 478,059.60 × 194,290.40
  4. Step 4: Simplify right side
    319,095.20x = 92,882,390,907.84
  5. Step 5: Solve for x
    x = 92,882,390,907.84/319,095.20
  6. Step 6: Final answer
    x = 291,080.50

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