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Finding the Fourth Proportional to 312,384.95, 468,595.58 and 87,762.89

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Solution

The fourth proportional to 312,384.95, 468,595.58 and 87,762.89 is: 131,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,384.95 : 468,595.58 = 87,762.89 : x
  2. Step 2: Convert to fraction form
    312,384.95/468,595.58 = 87,762.89/x
  3. Step 3: Cross multiply
    312,384.95x = 468,595.58 × 87,762.89
  4. Step 4: Simplify right side
    312,384.95x = 41,125,303,074.70
  5. Step 5: Solve for x
    x = 41,125,303,074.70/312,384.95
  6. Step 6: Final answer
    x = 131,649.44

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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.