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Finding the Fourth Proportional to 306,098.40, 459,147.60 and 286,269.60

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Solution

The fourth proportional to 306,098.40, 459,147.60 and 286,269.60 is: 429,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.40 : 459,147.60 = 286,269.60 : x
  2. Step 2: Convert to fraction form
    306,098.40/459,147.60 = 286,269.60/x
  3. Step 3: Cross multiply
    306,098.40x = 459,147.60 × 286,269.60
  4. Step 4: Simplify right side
    306,098.40x = 131,439,999,792.96
  5. Step 5: Solve for x
    x = 131,439,999,792.96/306,098.40
  6. Step 6: Final answer
    x = 429,404.40

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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.