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Finding the Fourth Proportional to 308,646.36, 462,970.30 and 166,558.50

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Solution

The fourth proportional to 308,646.36, 462,970.30 and 166,558.50 is: 249,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,646.36 : 462,970.30 = 166,558.50 : x
  2. Step 2: Convert to fraction form
    308,646.36/462,970.30 = 166,558.50/x
  3. Step 3: Cross multiply
    308,646.36x = 462,970.30 × 166,558.50
  4. Step 4: Simplify right side
    308,646.36x = 77,111,640,261.89
  5. Step 5: Solve for x
    x = 77,111,640,261.89/308,646.36
  6. Step 6: Final answer
    x = 249,838.17

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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.