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Finding the Fourth Proportional to 546,933, 820,399.50 and 147,573.76

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Solution

The fourth proportional to 546,933, 820,399.50 and 147,573.76 is: 221,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,933 : 820,399.50 = 147,573.76 : x
  2. Step 2: Convert to fraction form
    546,933/820,399.50 = 147,573.76/x
  3. Step 3: Cross multiply
    546,933x = 820,399.50 × 147,573.76
  4. Step 4: Simplify right side
    546,933x = 121,069,438,917.12
  5. Step 5: Solve for x
    x = 121,069,438,917.12/546,933
  6. Step 6: Final answer
    x = 221,360.64

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1.5x scale

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.