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Finding the Fourth Proportional to 785,258.48, 1,178,237.64 and 411,194

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Solution

The fourth proportional to 785,258.48, 1,178,237.64 and 411,194 is: 616,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,258.48 : 1,178,237.64 = 411,194 : x
  2. Step 2: Convert to fraction form
    785,258.48/1,178,237.64 = 411,194/x
  3. Step 3: Cross multiply
    785,258.48x = 1,178,237.64 × 411,194
  4. Step 4: Simplify right side
    785,258.48x = 484,484,248,142.16
  5. Step 5: Solve for x
    x = 484,484,248,142.16/785,258.48
  6. Step 6: Final answer
    x = 616,974.23

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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.