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Finding the Fourth Proportional to 298,971.70, 448,303.65 and 88,582.30

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Solution

The fourth proportional to 298,971.70, 448,303.65 and 88,582.30 is: 132,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971.70 : 448,303.65 = 88,582.30 : x
  2. Step 2: Convert to fraction form
    298,971.70/448,303.65 = 88,582.30/x
  3. Step 3: Cross multiply
    298,971.70x = 448,303.65 × 88,582.30
  4. Step 4: Simplify right side
    298,971.70x = 39,711,768,415.40
  5. Step 5: Solve for x
    x = 39,711,768,415.40/298,971.70
  6. Step 6: Final answer
    x = 132,827.85

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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.