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Finding the Fourth Proportional to 463,656.80, 695,312.40 and 164,021.60

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Solution

The fourth proportional to 463,656.80, 695,312.40 and 164,021.60 is: 245,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,656.80 : 695,312.40 = 164,021.60 : x
  2. Step 2: Convert to fraction form
    463,656.80/695,312.40 = 164,021.60/x
  3. Step 3: Cross multiply
    463,656.80x = 695,312.40 × 164,021.60
  4. Step 4: Simplify right side
    463,656.80x = 114,046,252,347.84
  5. Step 5: Solve for x
    x = 114,046,252,347.84/463,656.80
  6. Step 6: Final answer
    x = 245,971.27

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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.