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Finding the Fourth Proportional to 401,206.60, 601,323.90 and 232,402.60

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Solution

The fourth proportional to 401,206.60, 601,323.90 and 232,402.60 is: 348,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,206.60 : 601,323.90 = 232,402.60 : x
  2. Step 2: Convert to fraction form
    401,206.60/601,323.90 = 232,402.60/x
  3. Step 3: Cross multiply
    401,206.60x = 601,323.90 × 232,402.60
  4. Step 4: Simplify right side
    401,206.60x = 139,749,237,802.14
  5. Step 5: Solve for x
    x = 139,749,237,802.14/401,206.60
  6. Step 6: Final answer
    x = 348,322.38

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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.