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Finding the Fourth Proportional to 314,222.54, 433,623.45 and 170,980.11

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Solution

The fourth proportional to 314,222.54, 433,623.45 and 170,980.11 is: 235,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.54 : 433,623.45 = 170,980.11 : x
  2. Step 2: Convert to fraction form
    314,222.54/433,623.45 = 170,980.11/x
  3. Step 3: Cross multiply
    314,222.54x = 433,623.45 × 170,980.11
  4. Step 4: Simplify right side
    314,222.54x = 74,140,985,179.58
  5. Step 5: Solve for x
    x = 74,140,985,179.58/314,222.54
  6. Step 6: Final answer
    x = 235,950.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.