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Finding the Fourth Proportional to 316,706.94, 474,564.50 and 190,035.90

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Solution

The fourth proportional to 316,706.94, 474,564.50 and 190,035.90 is: 284,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,706.94 : 474,564.50 = 190,035.90 : x
  2. Step 2: Convert to fraction form
    316,706.94/474,564.50 = 190,035.90/x
  3. Step 3: Cross multiply
    316,706.94x = 474,564.50 × 190,035.90
  4. Step 4: Simplify right side
    316,706.94x = 90,184,291,865.55
  5. Step 5: Solve for x
    x = 90,184,291,865.55/316,706.94
  6. Step 6: Final answer
    x = 284,756.29

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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.