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Finding the Fourth Proportional to 289,368.80, 434,053.20 and 194,890.40

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Solution

The fourth proportional to 289,368.80, 434,053.20 and 194,890.40 is: 292,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,368.80 : 434,053.20 = 194,890.40 : x
  2. Step 2: Convert to fraction form
    289,368.80/434,053.20 = 194,890.40/x
  3. Step 3: Cross multiply
    289,368.80x = 434,053.20 × 194,890.40
  4. Step 4: Simplify right side
    289,368.80x = 84,592,801,769.28
  5. Step 5: Solve for x
    x = 84,592,801,769.28/289,368.80
  6. Step 6: Final answer
    x = 292,335.60

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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.