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Finding the Fourth Proportional to 289,206.40, 434,846.40 and 243,587.20

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Solution

The fourth proportional to 289,206.40, 434,846.40 and 243,587.20 is: 366,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.40 : 434,846.40 = 243,587.20 : x
  2. Step 2: Convert to fraction form
    289,206.40/434,846.40 = 243,587.20/x
  3. Step 3: Cross multiply
    289,206.40x = 434,846.40 × 243,587.20
  4. Step 4: Simplify right side
    289,206.40x = 105,923,017,006.08
  5. Step 5: Solve for x
    x = 105,923,017,006.08/289,206.40
  6. Step 6: Final answer
    x = 366,254.06

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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.