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Finding the Fourth Proportional to 231,041.60, 346,562.40 and 64,829.60

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Solution

The fourth proportional to 231,041.60, 346,562.40 and 64,829.60 is: 97,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,041.60 : 346,562.40 = 64,829.60 : x
  2. Step 2: Convert to fraction form
    231,041.60/346,562.40 = 64,829.60/x
  3. Step 3: Cross multiply
    231,041.60x = 346,562.40 × 64,829.60
  4. Step 4: Simplify right side
    231,041.60x = 22,467,501,767.04
  5. Step 5: Solve for x
    x = 22,467,501,767.04/231,041.60
  6. Step 6: Final answer
    x = 97,244.40

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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.