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Finding the Fourth Proportional to 416,001.06, 622,776.87 and 257,720.58

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Solution

The fourth proportional to 416,001.06, 622,776.87 and 257,720.58 is: 385,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,001.06 : 622,776.87 = 257,720.58 : x
  2. Step 2: Convert to fraction form
    416,001.06/622,776.87 = 257,720.58/x
  3. Step 3: Cross multiply
    416,001.06x = 622,776.87 × 257,720.58
  4. Step 4: Simplify right side
    416,001.06x = 160,502,416,146.99
  5. Step 5: Solve for x
    x = 160,502,416,146.99/416,001.06
  6. Step 6: Final answer
    x = 385,822.13

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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.