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Finding the Fourth Proportional to 413,973.14, 620,585.54 and 147,670.36

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Solution

The fourth proportional to 413,973.14, 620,585.54 and 147,670.36 is: 221,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,973.14 : 620,585.54 = 147,670.36 : x
  2. Step 2: Convert to fraction form
    413,973.14/620,585.54 = 147,670.36/x
  3. Step 3: Cross multiply
    413,973.14x = 620,585.54 × 147,670.36
  4. Step 4: Simplify right side
    413,973.14x = 91,642,090,102.59
  5. Step 5: Solve for x
    x = 91,642,090,102.59/413,973.14
  6. Step 6: Final answer
    x = 221,372.07

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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.