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Finding the Fourth Proportional to 306,412.80, 459,662.40 and 96,028.80

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Solution

The fourth proportional to 306,412.80, 459,662.40 and 96,028.80 is: 144,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,412.80 : 459,662.40 = 96,028.80 : x
  2. Step 2: Convert to fraction form
    306,412.80/459,662.40 = 96,028.80/x
  3. Step 3: Cross multiply
    306,412.80x = 459,662.40 × 96,028.80
  4. Step 4: Simplify right side
    306,412.80x = 44,140,828,677.12
  5. Step 5: Solve for x
    x = 44,140,828,677.12/306,412.80
  6. Step 6: Final answer
    x = 144,056.74

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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.