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Finding the Fourth Proportional to 277,832.16, 416,602.44 and 144,386.28

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Solution

The fourth proportional to 277,832.16, 416,602.44 and 144,386.28 is: 216,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832.16 : 416,602.44 = 144,386.28 : x
  2. Step 2: Convert to fraction form
    277,832.16/416,602.44 = 144,386.28/x
  3. Step 3: Cross multiply
    277,832.16x = 416,602.44 × 144,386.28
  4. Step 4: Simplify right side
    277,832.16x = 60,151,676,550.52
  5. Step 5: Solve for x
    x = 60,151,676,550.52/277,832.16
  6. Step 6: Final answer
    x = 216,503.65

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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.