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Finding the Fourth Proportional to 316,017, 474,025.50 and 94,401

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Solution

The fourth proportional to 316,017, 474,025.50 and 94,401 is: 141,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,017 : 474,025.50 = 94,401 : x
  2. Step 2: Convert to fraction form
    316,017/474,025.50 = 94,401/x
  3. Step 3: Cross multiply
    316,017x = 474,025.50 × 94,401
  4. Step 4: Simplify right side
    316,017x = 44,748,481,225.50
  5. Step 5: Solve for x
    x = 44,748,481,225.50/316,017
  6. Step 6: Final answer
    x = 141,601.50

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Why These Related Problems?

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