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Finding the Fourth Proportional to 289,415.80, 434,123.70 and 102,446.20

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Solution

The fourth proportional to 289,415.80, 434,123.70 and 102,446.20 is: 153,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.80 : 434,123.70 = 102,446.20 : x
  2. Step 2: Convert to fraction form
    289,415.80/434,123.70 = 102,446.20/x
  3. Step 3: Cross multiply
    289,415.80x = 434,123.70 × 102,446.20
  4. Step 4: Simplify right side
    289,415.80x = 44,474,323,394.94
  5. Step 5: Solve for x
    x = 44,474,323,394.94/289,415.80
  6. Step 6: Final answer
    x = 153,669.30

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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.