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Finding the Fourth Proportional to 948,675, 1,423,012.50 and 283,827

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Solution

The fourth proportional to 948,675, 1,423,012.50 and 283,827 is: 425,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,675 : 1,423,012.50 = 283,827 : x
  2. Step 2: Convert to fraction form
    948,675/1,423,012.50 = 283,827/x
  3. Step 3: Cross multiply
    948,675x = 1,423,012.50 × 283,827
  4. Step 4: Simplify right side
    948,675x = 403,889,368,837.50
  5. Step 5: Solve for x
    x = 403,889,368,837.50/948,675
  6. Step 6: Final answer
    x = 425,740.50

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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.