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Finding the Fourth Proportional to 401,533.60, 602,204.40 and 232,688.80

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Solution

The fourth proportional to 401,533.60, 602,204.40 and 232,688.80 is: 348,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,533.60 : 602,204.40 = 232,688.80 : x
  2. Step 2: Convert to fraction form
    401,533.60/602,204.40 = 232,688.80/x
  3. Step 3: Cross multiply
    401,533.60x = 602,204.40 × 232,688.80
  4. Step 4: Simplify right side
    401,533.60x = 140,126,219,190.72
  5. Step 5: Solve for x
    x = 140,126,219,190.72/401,533.60
  6. Step 6: Final answer
    x = 348,977.57

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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.