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Finding the Fourth Proportional to 306,032.40, 459,048.60 and 140,144.40

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Solution

The fourth proportional to 306,032.40, 459,048.60 and 140,144.40 is: 210,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.40 : 459,048.60 = 140,144.40 : x
  2. Step 2: Convert to fraction form
    306,032.40/459,048.60 = 140,144.40/x
  3. Step 3: Cross multiply
    306,032.40x = 459,048.60 × 140,144.40
  4. Step 4: Simplify right side
    306,032.40x = 64,333,090,617.84
  5. Step 5: Solve for x
    x = 64,333,090,617.84/306,032.40
  6. Step 6: Final answer
    x = 210,216.60

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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.