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Finding the Fourth Proportional to 298,666.90, 412,160.13 and 164,530.90

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Solution

The fourth proportional to 298,666.90, 412,160.13 and 164,530.90 is: 227,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,666.90 : 412,160.13 = 164,530.90 : x
  2. Step 2: Convert to fraction form
    298,666.90/412,160.13 = 164,530.90/x
  3. Step 3: Cross multiply
    298,666.90x = 412,160.13 × 164,530.90
  4. Step 4: Simplify right side
    298,666.90x = 67,813,075,072.22
  5. Step 5: Solve for x
    x = 67,813,075,072.22/298,666.90
  6. Step 6: Final answer
    x = 227,052.53

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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.