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Finding the Fourth Proportional to 270,717.10, 406,075.65 and 165,741.10

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Solution

The fourth proportional to 270,717.10, 406,075.65 and 165,741.10 is: 248,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,717.10 : 406,075.65 = 165,741.10 : x
  2. Step 2: Convert to fraction form
    270,717.10/406,075.65 = 165,741.10/x
  3. Step 3: Cross multiply
    270,717.10x = 406,075.65 × 165,741.10
  4. Step 4: Simplify right side
    270,717.10x = 67,303,424,914.22
  5. Step 5: Solve for x
    x = 67,303,424,914.22/270,717.10
  6. Step 6: Final answer
    x = 248,611.65

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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.