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Finding the Fourth Proportional to 409,368.60, 614,052.90 and 232,221.60

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Solution

The fourth proportional to 409,368.60, 614,052.90 and 232,221.60 is: 348,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,368.60 : 614,052.90 = 232,221.60 : x
  2. Step 2: Convert to fraction form
    409,368.60/614,052.90 = 232,221.60/x
  3. Step 3: Cross multiply
    409,368.60x = 614,052.90 × 232,221.60
  4. Step 4: Simplify right side
    409,368.60x = 142,596,346,922.64
  5. Step 5: Solve for x
    x = 142,596,346,922.64/409,368.60
  6. Step 6: Final answer
    x = 348,332.40

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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.