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Finding the Fourth Proportional to 456,854.80, 685,309.10 and 176,373.52

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Solution

The fourth proportional to 456,854.80, 685,309.10 and 176,373.52 is: 264,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,854.80 : 685,309.10 = 176,373.52 : x
  2. Step 2: Convert to fraction form
    456,854.80/685,309.10 = 176,373.52/x
  3. Step 3: Cross multiply
    456,854.80x = 685,309.10 × 176,373.52
  4. Step 4: Simplify right side
    456,854.80x = 120,870,378,255.03
  5. Step 5: Solve for x
    x = 120,870,378,255.03/456,854.80
  6. Step 6: Final answer
    x = 264,570.67

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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.