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Finding the Fourth Proportional to 401,066.40, 601,599.60 and 355,965.60

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Solution

The fourth proportional to 401,066.40, 601,599.60 and 355,965.60 is: 533,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066.40 : 601,599.60 = 355,965.60 : x
  2. Step 2: Convert to fraction form
    401,066.40/601,599.60 = 355,965.60/x
  3. Step 3: Cross multiply
    401,066.40x = 601,599.60 × 355,965.60
  4. Step 4: Simplify right side
    401,066.40x = 214,148,762,573.76
  5. Step 5: Solve for x
    x = 214,148,762,573.76/401,066.40
  6. Step 6: Final answer
    x = 533,948.40

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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.