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Finding the Fourth Proportional to 507,013, 761,267.12 and 282,811.48

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Solution

The fourth proportional to 507,013, 761,267.12 and 282,811.48 is: 424,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,013 : 761,267.12 = 282,811.48 : x
  2. Step 2: Convert to fraction form
    507,013/761,267.12 = 282,811.48/x
  3. Step 3: Cross multiply
    507,013x = 761,267.12 × 282,811.48
  4. Step 4: Simplify right side
    507,013x = 215,295,080,882.54
  5. Step 5: Solve for x
    x = 215,295,080,882.54/507,013
  6. Step 6: Final answer
    x = 424,634.24

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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.