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Finding the Fourth Proportional to 313,983.60, 470,975.40 and 286,427.40

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Solution

The fourth proportional to 313,983.60, 470,975.40 and 286,427.40 is: 429,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,983.60 : 470,975.40 = 286,427.40 : x
  2. Step 2: Convert to fraction form
    313,983.60/470,975.40 = 286,427.40/x
  3. Step 3: Cross multiply
    313,983.60x = 470,975.40 × 286,427.40
  4. Step 4: Simplify right side
    313,983.60x = 134,900,259,285.96
  5. Step 5: Solve for x
    x = 134,900,259,285.96/313,983.60
  6. Step 6: Final answer
    x = 429,641.10

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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.