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Finding the Fourth Proportional to 401,041.53, 601,894.60 and 201,419.06

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Solution

The fourth proportional to 401,041.53, 601,894.60 and 201,419.06 is: 302,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,041.53 : 601,894.60 = 201,419.06 : x
  2. Step 2: Convert to fraction form
    401,041.53/601,894.60 = 201,419.06/x
  3. Step 3: Cross multiply
    401,041.53x = 601,894.60 × 201,419.06
  4. Step 4: Simplify right side
    401,041.53x = 121,233,041,038.06
  5. Step 5: Solve for x
    x = 121,233,041,038.06/401,041.53
  6. Step 6: Final answer
    x = 302,295.48

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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.