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Finding the Fourth Proportional to 306,706.64, 459,394.74 and 148,603.55

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Solution

The fourth proportional to 306,706.64, 459,394.74 and 148,603.55 is: 222,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.64 : 459,394.74 = 148,603.55 : x
  2. Step 2: Convert to fraction form
    306,706.64/459,394.74 = 148,603.55/x
  3. Step 3: Cross multiply
    306,706.64x = 459,394.74 × 148,603.55
  4. Step 4: Simplify right side
    306,706.64x = 68,267,686,918.35
  5. Step 5: Solve for x
    x = 68,267,686,918.35/306,706.64
  6. Step 6: Final answer
    x = 222,583.01

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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.