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Finding the Fourth Proportional to 298,095.68, 446,580.26 and 176,152.46

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Solution

The fourth proportional to 298,095.68, 446,580.26 and 176,152.46 is: 263,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,095.68 : 446,580.26 = 176,152.46 : x
  2. Step 2: Convert to fraction form
    298,095.68/446,580.26 = 176,152.46/x
  3. Step 3: Cross multiply
    298,095.68x = 446,580.26 × 176,152.46
  4. Step 4: Simplify right side
    298,095.68x = 78,666,211,622.13
  5. Step 5: Solve for x
    x = 78,666,211,622.13/298,095.68
  6. Step 6: Final answer
    x = 263,895.85

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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.