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Finding the Fourth Proportional to 430,735.40, 645,749.82 and 194,007.08

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Solution

The fourth proportional to 430,735.40, 645,749.82 and 194,007.08 is: 290,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,735.40 : 645,749.82 = 194,007.08 : x
  2. Step 2: Convert to fraction form
    430,735.40/645,749.82 = 194,007.08/x
  3. Step 3: Cross multiply
    430,735.40x = 645,749.82 × 194,007.08
  4. Step 4: Simplify right side
    430,735.40x = 125,280,036,988.73
  5. Step 5: Solve for x
    x = 125,280,036,988.73/430,735.40
  6. Step 6: Final answer
    x = 290,851.50

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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.