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Finding the Fourth Proportional to 307,095.60, 460,643.40 and 149,631.60

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Solution

The fourth proportional to 307,095.60, 460,643.40 and 149,631.60 is: 224,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,095.60 : 460,643.40 = 149,631.60 : x
  2. Step 2: Convert to fraction form
    307,095.60/460,643.40 = 149,631.60/x
  3. Step 3: Cross multiply
    307,095.60x = 460,643.40 × 149,631.60
  4. Step 4: Simplify right side
    307,095.60x = 68,926,808,971.44
  5. Step 5: Solve for x
    x = 68,926,808,971.44/307,095.60
  6. Step 6: Final answer
    x = 224,447.40

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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.