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Finding the Fourth Proportional to 314,194.68, 469,157.49 and 305,681.58

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Solution

The fourth proportional to 314,194.68, 469,157.49 and 305,681.58 is: 456,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,194.68 : 469,157.49 = 305,681.58 : x
  2. Step 2: Convert to fraction form
    314,194.68/469,157.49 = 305,681.58/x
  3. Step 3: Cross multiply
    314,194.68x = 469,157.49 × 305,681.58
  4. Step 4: Simplify right side
    314,194.68x = 143,412,802,812.03
  5. Step 5: Solve for x
    x = 143,412,802,812.03/314,194.68
  6. Step 6: Final answer
    x = 456,445.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.