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Finding the Fourth Proportional to 948,294, 1,422,145.76 and 317,060.19

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Solution

The fourth proportional to 948,294, 1,422,145.76 and 317,060.19 is: 475,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,294 : 1,422,145.76 = 317,060.19 : x
  2. Step 2: Convert to fraction form
    948,294/1,422,145.76 = 317,060.19/x
  3. Step 3: Cross multiply
    948,294x = 1,422,145.76 × 317,060.19
  4. Step 4: Simplify right side
    948,294x = 450,905,803,287.99
  5. Step 5: Solve for x
    x = 450,905,803,287.99/948,294
  6. Step 6: Final answer
    x = 475,491.57

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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.