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Finding the Fourth Proportional to 289,817.60, 434,726.40 and 264,934.40

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Solution

The fourth proportional to 289,817.60, 434,726.40 and 264,934.40 is: 397,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,817.60 : 434,726.40 = 264,934.40 : x
  2. Step 2: Convert to fraction form
    289,817.60/434,726.40 = 264,934.40/x
  3. Step 3: Cross multiply
    289,817.60x = 434,726.40 × 264,934.40
  4. Step 4: Simplify right side
    289,817.60x = 115,173,977,948.16
  5. Step 5: Solve for x
    x = 115,173,977,948.16/289,817.60
  6. Step 6: Final answer
    x = 397,401.60

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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.