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Finding the Fourth Proportional to 298,259.43, 411,602.93 and 162,294.06

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Solution

The fourth proportional to 298,259.43, 411,602.93 and 162,294.06 is: 223,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,259.43 : 411,602.93 = 162,294.06 : x
  2. Step 2: Convert to fraction form
    298,259.43/411,602.93 = 162,294.06/x
  3. Step 3: Cross multiply
    298,259.43x = 411,602.93 × 162,294.06
  4. Step 4: Simplify right side
    298,259.43x = 66,800,710,617.60
  5. Step 5: Solve for x
    x = 66,800,710,617.60/298,259.43
  6. Step 6: Final answer
    x = 223,968.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.