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Finding the Fourth Proportional to 456,776.94, 685,211.46 and 157,218.18

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Solution

The fourth proportional to 456,776.94, 685,211.46 and 157,218.18 is: 235,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,776.94 : 685,211.46 = 157,218.18 : x
  2. Step 2: Convert to fraction form
    456,776.94/685,211.46 = 157,218.18/x
  3. Step 3: Cross multiply
    456,776.94x = 685,211.46 × 157,218.18
  4. Step 4: Simplify right side
    456,776.94x = 107,727,698,656.34
  5. Step 5: Solve for x
    x = 107,727,698,656.34/456,776.94
  6. Step 6: Final answer
    x = 235,843.12

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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.