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Finding the Fourth Proportional to 289,152.20, 433,145.10 and 164,347.40

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Solution

The fourth proportional to 289,152.20, 433,145.10 and 164,347.40 is: 246,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,152.20 : 433,145.10 = 164,347.40 : x
  2. Step 2: Convert to fraction form
    289,152.20/433,145.10 = 164,347.40/x
  3. Step 3: Cross multiply
    289,152.20x = 433,145.10 × 164,347.40
  4. Step 4: Simplify right side
    289,152.20x = 71,186,271,007.74
  5. Step 5: Solve for x
    x = 71,186,271,007.74/289,152.20
  6. Step 6: Final answer
    x = 246,189.62

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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.