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Finding the Fourth Proportional to 289,820.20, 434,730.30 and 264,159.40

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Solution

The fourth proportional to 289,820.20, 434,730.30 and 264,159.40 is: 396,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,820.20 : 434,730.30 = 264,159.40 : x
  2. Step 2: Convert to fraction form
    289,820.20/434,730.30 = 264,159.40/x
  3. Step 3: Cross multiply
    289,820.20x = 434,730.30 × 264,159.40
  4. Step 4: Simplify right side
    289,820.20x = 114,838,095,209.82
  5. Step 5: Solve for x
    x = 114,838,095,209.82/289,820.20
  6. Step 6: Final answer
    x = 396,239.10

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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.