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Finding the Fourth Proportional to 600,419.60, 900,738.56 and 284,873.60

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Solution

The fourth proportional to 600,419.60, 900,738.56 and 284,873.60 is: 427,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,419.60 : 900,738.56 = 284,873.60 : x
  2. Step 2: Convert to fraction form
    600,419.60/900,738.56 = 284,873.60/x
  3. Step 3: Cross multiply
    600,419.60x = 900,738.56 × 284,873.60
  4. Step 4: Simplify right side
    600,419.60x = 256,596,636,246.02
  5. Step 5: Solve for x
    x = 256,596,636,246.02/600,419.60
  6. Step 6: Final answer
    x = 427,362.19

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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.