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Finding the Fourth Proportional to 280,856.60, 420,410.10 and 202,124.60

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Solution

The fourth proportional to 280,856.60, 420,410.10 and 202,124.60 is: 302,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,856.60 : 420,410.10 = 202,124.60 : x
  2. Step 2: Convert to fraction form
    280,856.60/420,410.10 = 202,124.60/x
  3. Step 3: Cross multiply
    280,856.60x = 420,410.10 × 202,124.60
  4. Step 4: Simplify right side
    280,856.60x = 84,975,223,298.46
  5. Step 5: Solve for x
    x = 84,975,223,298.46/280,856.60
  6. Step 6: Final answer
    x = 302,557.33

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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.