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Finding the Fourth Proportional to 298,464.04, 411,880.74 and 164,328.04

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Solution

The fourth proportional to 298,464.04, 411,880.74 and 164,328.04 is: 226,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,464.04 : 411,880.74 = 164,328.04 : x
  2. Step 2: Convert to fraction form
    298,464.04/411,880.74 = 164,328.04/x
  3. Step 3: Cross multiply
    298,464.04x = 411,880.74 × 164,328.04
  4. Step 4: Simplify right side
    298,464.04x = 67,683,554,717.95
  5. Step 5: Solve for x
    x = 67,683,554,717.95/298,464.04
  6. Step 6: Final answer
    x = 226,772.90

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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.