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Finding the Fourth Proportional to 948,024, 1,422,036 and 283,176

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Solution

The fourth proportional to 948,024, 1,422,036 and 283,176 is: 424,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,024 : 1,422,036 = 283,176 : x
  2. Step 2: Convert to fraction form
    948,024/1,422,036 = 283,176/x
  3. Step 3: Cross multiply
    948,024x = 1,422,036 × 283,176
  4. Step 4: Simplify right side
    948,024x = 402,686,466,336
  5. Step 5: Solve for x
    x = 402,686,466,336/948,024
  6. Step 6: Final answer
    x = 424,764

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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.