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Finding the Fourth Proportional to 298,595.34, 412,061.58 and 164,459.34

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Solution

The fourth proportional to 298,595.34, 412,061.58 and 164,459.34 is: 226,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.34 : 412,061.58 = 164,459.34 : x
  2. Step 2: Convert to fraction form
    298,595.34/412,061.58 = 164,459.34/x
  3. Step 3: Cross multiply
    298,595.34x = 412,061.58 × 164,459.34
  4. Step 4: Simplify right side
    298,595.34x = 67,767,375,486.16
  5. Step 5: Solve for x
    x = 67,767,375,486.16/298,595.34
  6. Step 6: Final answer
    x = 226,953.90

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