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Finding the Fourth Proportional to 540,193, 745,466.52 and 301,729

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Solution

The fourth proportional to 540,193, 745,466.52 and 301,729 is: 416,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,193 : 745,466.52 = 301,729 : x
  2. Step 2: Convert to fraction form
    540,193/745,466.52 = 301,729/x
  3. Step 3: Cross multiply
    540,193x = 745,466.52 × 301,729
  4. Step 4: Simplify right side
    540,193x = 224,928,867,613.08
  5. Step 5: Solve for x
    x = 224,928,867,613.08/540,193
  6. Step 6: Final answer
    x = 416,386.12

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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.