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Finding the Fourth Proportional to 312,421.50, 468,775.05 and 170,053.50

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Solution

The fourth proportional to 312,421.50, 468,775.05 and 170,053.50 is: 255,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.50 : 468,775.05 = 170,053.50 : x
  2. Step 2: Convert to fraction form
    312,421.50/468,775.05 = 170,053.50/x
  3. Step 3: Cross multiply
    312,421.50x = 468,775.05 × 170,053.50
  4. Step 4: Simplify right side
    312,421.50x = 79,716,837,965.18
  5. Step 5: Solve for x
    x = 79,716,837,965.18/312,421.50
  6. Step 6: Final answer
    x = 255,157.98

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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.