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Finding the Fourth Proportional to 401,312.60, 601,919.64 and 232,924.52

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Solution

The fourth proportional to 401,312.60, 601,919.64 and 232,924.52 is: 349,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,312.60 : 601,919.64 = 232,924.52 : x
  2. Step 2: Convert to fraction form
    401,312.60/601,919.64 = 232,924.52/x
  3. Step 3: Cross multiply
    401,312.60x = 601,919.64 × 232,924.52
  4. Step 4: Simplify right side
    401,312.60x = 140,201,843,225.57
  5. Step 5: Solve for x
    x = 140,201,843,225.57/401,312.60
  6. Step 6: Final answer
    x = 349,358.19

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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.