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Finding the Fourth Proportional to 298,666.33, 412,159.35 and 164,530.33

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Solution

The fourth proportional to 298,666.33, 412,159.35 and 164,530.33 is: 227,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,666.33 : 412,159.35 = 164,530.33 : x
  2. Step 2: Convert to fraction form
    298,666.33/412,159.35 = 164,530.33/x
  3. Step 3: Cross multiply
    298,666.33x = 412,159.35 × 164,530.33
  4. Step 4: Simplify right side
    298,666.33x = 67,812,713,454.68
  5. Step 5: Solve for x
    x = 67,812,713,454.68/298,666.33
  6. Step 6: Final answer
    x = 227,051.75

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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.