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Finding the Fourth Proportional to 413,366.40, 570,451.52 and 232,117.60

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Solution

The fourth proportional to 413,366.40, 570,451.52 and 232,117.60 is: 320,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.40 : 570,451.52 = 232,117.60 : x
  2. Step 2: Convert to fraction form
    413,366.40/570,451.52 = 232,117.60/x
  3. Step 3: Cross multiply
    413,366.40x = 570,451.52 × 232,117.60
  4. Step 4: Simplify right side
    413,366.40x = 132,411,837,738.75
  5. Step 5: Solve for x
    x = 132,411,837,738.75/413,366.40
  6. Step 6: Final answer
    x = 320,325.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.