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Finding the Fourth Proportional to 564,638.90, 846,051.15 and 298,051.70

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Solution

The fourth proportional to 564,638.90, 846,051.15 and 298,051.70 is: 446,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,638.90 : 846,051.15 = 298,051.70 : x
  2. Step 2: Convert to fraction form
    564,638.90/846,051.15 = 298,051.70/x
  3. Step 3: Cross multiply
    564,638.90x = 846,051.15 × 298,051.70
  4. Step 4: Simplify right side
    564,638.90x = 252,166,983,544.46
  5. Step 5: Solve for x
    x = 252,166,983,544.46/564,638.90
  6. Step 6: Final answer
    x = 446,598.67

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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.