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Finding the Fourth Proportional to 632,065.36, 947,900.40 and 211,242.82

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Solution

The fourth proportional to 632,065.36, 947,900.40 and 211,242.82 is: 316,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,065.36 : 947,900.40 = 211,242.82 : x
  2. Step 2: Convert to fraction form
    632,065.36/947,900.40 = 211,242.82/x
  3. Step 3: Cross multiply
    632,065.36x = 947,900.40 × 211,242.82
  4. Step 4: Simplify right side
    632,065.36x = 200,237,153,575.13
  5. Step 5: Solve for x
    x = 200,237,153,575.13/632,065.36
  6. Step 6: Final answer
    x = 316,798.18

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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.