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Finding the Fourth Proportional to 291,880.30, 402,794.16 and 164,554.98

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Solution

The fourth proportional to 291,880.30, 402,794.16 and 164,554.98 is: 227,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,880.30 : 402,794.16 = 164,554.98 : x
  2. Step 2: Convert to fraction form
    291,880.30/402,794.16 = 164,554.98/x
  3. Step 3: Cross multiply
    291,880.30x = 402,794.16 × 164,554.98
  4. Step 4: Simplify right side
    291,880.30x = 66,281,784,942.92
  5. Step 5: Solve for x
    x = 66,281,784,942.92/291,880.30
  6. Step 6: Final answer
    x = 227,085.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.