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Finding the Fourth Proportional to 401,727.56, 602,594.88 and 102,208.52

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Solution

The fourth proportional to 401,727.56, 602,594.88 and 102,208.52 is: 153,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,727.56 : 602,594.88 = 102,208.52 : x
  2. Step 2: Convert to fraction form
    401,727.56/602,594.88 = 102,208.52/x
  3. Step 3: Cross multiply
    401,727.56x = 602,594.88 × 102,208.52
  4. Step 4: Simplify right side
    401,727.56x = 61,590,330,844.38
  5. Step 5: Solve for x
    x = 61,590,330,844.38/401,727.56
  6. Step 6: Final answer
    x = 153,313.68

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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.