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Finding the Fourth Proportional to 289,941.46, 435,037.32 and 156,915.58

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Solution

The fourth proportional to 289,941.46, 435,037.32 and 156,915.58 is: 235,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,941.46 : 435,037.32 = 156,915.58 : x
  2. Step 2: Convert to fraction form
    289,941.46/435,037.32 = 156,915.58/x
  3. Step 3: Cross multiply
    289,941.46x = 435,037.32 × 156,915.58
  4. Step 4: Simplify right side
    289,941.46x = 68,264,133,389.45
  5. Step 5: Solve for x
    x = 68,264,133,389.45/289,941.46
  6. Step 6: Final answer
    x = 235,441.09

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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.