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Finding the Fourth Proportional to 401,606.42, 602,465.99 and 117,317.84

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Solution

The fourth proportional to 401,606.42, 602,465.99 and 117,317.84 is: 175,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,606.42 : 602,465.99 = 117,317.84 : x
  2. Step 2: Convert to fraction form
    401,606.42/602,465.99 = 117,317.84/x
  3. Step 3: Cross multiply
    401,606.42x = 602,465.99 × 117,317.84
  4. Step 4: Simplify right side
    401,606.42x = 70,680,005,021.34
  5. Step 5: Solve for x
    x = 70,680,005,021.34/401,606.42
  6. Step 6: Final answer
    x = 175,993.22

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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.