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Finding the Fourth Proportional to 307,514.30, 461,271.45 and 266,042.30

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Solution

The fourth proportional to 307,514.30, 461,271.45 and 266,042.30 is: 399,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,514.30 : 461,271.45 = 266,042.30 : x
  2. Step 2: Convert to fraction form
    307,514.30/461,271.45 = 266,042.30/x
  3. Step 3: Cross multiply
    307,514.30x = 461,271.45 × 266,042.30
  4. Step 4: Simplify right side
    307,514.30x = 122,717,717,482.34
  5. Step 5: Solve for x
    x = 122,717,717,482.34/307,514.30
  6. Step 6: Final answer
    x = 399,063.45

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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.