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Finding the Fourth Proportional to 348,570.20, 522,077.70 and 286,362.20

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Solution

The fourth proportional to 348,570.20, 522,077.70 and 286,362.20 is: 428,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,570.20 : 522,077.70 = 286,362.20 : x
  2. Step 2: Convert to fraction form
    348,570.20/522,077.70 = 286,362.20/x
  3. Step 3: Cross multiply
    348,570.20x = 522,077.70 × 286,362.20
  4. Step 4: Simplify right side
    348,570.20x = 149,503,318,742.94
  5. Step 5: Solve for x
    x = 149,503,318,742.94/348,570.20
  6. Step 6: Final answer
    x = 428,904.48

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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.