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Finding the Fourth Proportional to 507,012, 761,265.62 and 282,810.48

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Solution

The fourth proportional to 507,012, 761,265.62 and 282,810.48 is: 424,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,012 : 761,265.62 = 282,810.48 : x
  2. Step 2: Convert to fraction form
    507,012/761,265.62 = 282,810.48/x
  3. Step 3: Cross multiply
    507,012x = 761,265.62 × 282,810.48
  4. Step 4: Simplify right side
    507,012x = 215,293,895,399.70
  5. Step 5: Solve for x
    x = 215,293,895,399.70/507,012
  6. Step 6: Final answer
    x = 424,632.74

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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.