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Finding the Fourth Proportional to 470,943.60, 706,415.40 and 190,316.40

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Solution

The fourth proportional to 470,943.60, 706,415.40 and 190,316.40 is: 285,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,943.60 : 706,415.40 = 190,316.40 : x
  2. Step 2: Convert to fraction form
    470,943.60/706,415.40 = 190,316.40/x
  3. Step 3: Cross multiply
    470,943.60x = 706,415.40 × 190,316.40
  4. Step 4: Simplify right side
    470,943.60x = 134,442,435,832.56
  5. Step 5: Solve for x
    x = 134,442,435,832.56/470,943.60
  6. Step 6: Final answer
    x = 285,474.60

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Similar ratio
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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.