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Finding the Fourth Proportional to 400,920.48, 601,473.60 and 116,617.76

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Solution

The fourth proportional to 400,920.48, 601,473.60 and 116,617.76 is: 174,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,920.48 : 601,473.60 = 116,617.76 : x
  2. Step 2: Convert to fraction form
    400,920.48/601,473.60 = 116,617.76/x
  3. Step 3: Cross multiply
    400,920.48x = 601,473.60 × 116,617.76
  4. Step 4: Simplify right side
    400,920.48x = 70,142,503,931.14
  5. Step 5: Solve for x
    x = 70,142,503,931.14/400,920.48
  6. Step 6: Final answer
    x = 174,953.66

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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.