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Finding the Fourth Proportional to 633,145, 949,717.50 and 189,913

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Solution

The fourth proportional to 633,145, 949,717.50 and 189,913 is: 284,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,145 : 949,717.50 = 189,913 : x
  2. Step 2: Convert to fraction form
    633,145/949,717.50 = 189,913/x
  3. Step 3: Cross multiply
    633,145x = 949,717.50 × 189,913
  4. Step 4: Simplify right side
    633,145x = 180,363,699,577.50
  5. Step 5: Solve for x
    x = 180,363,699,577.50/633,145
  6. Step 6: Final answer
    x = 284,869.50

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1.5x scale

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.