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Finding the Fourth Proportional to 230,404.40, 318,094.46 and 204,840.16

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Solution

The fourth proportional to 230,404.40, 318,094.46 and 204,840.16 is: 282,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,404.40 : 318,094.46 = 204,840.16 : x
  2. Step 2: Convert to fraction form
    230,404.40/318,094.46 = 204,840.16/x
  3. Step 3: Cross multiply
    230,404.40x = 318,094.46 × 204,840.16
  4. Step 4: Simplify right side
    230,404.40x = 65,158,519,030.23
  5. Step 5: Solve for x
    x = 65,158,519,030.23/230,404.40
  6. Step 6: Final answer
    x = 282,800.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.