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Finding the Fourth Proportional to 401,784.84, 602,657.73 and 149,114.58

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Solution

The fourth proportional to 401,784.84, 602,657.73 and 149,114.58 is: 223,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,784.84 : 602,657.73 = 149,114.58 : x
  2. Step 2: Convert to fraction form
    401,784.84/602,657.73 = 149,114.58/x
  3. Step 3: Cross multiply
    401,784.84x = 602,657.73 × 149,114.58
  4. Step 4: Simplify right side
    401,784.84x = 89,865,054,292.70
  5. Step 5: Solve for x
    x = 89,865,054,292.70/401,784.84
  6. Step 6: Final answer
    x = 223,664.62

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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.