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Finding the Fourth Proportional to 507,014, 761,268.62 and 282,812.48

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Solution

The fourth proportional to 507,014, 761,268.62 and 282,812.48 is: 424,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,014 : 761,268.62 = 282,812.48 : x
  2. Step 2: Convert to fraction form
    507,014/761,268.62 = 282,812.48/x
  3. Step 3: Cross multiply
    507,014x = 761,268.62 × 282,812.48
  4. Step 4: Simplify right side
    507,014x = 215,296,266,368.38
  5. Step 5: Solve for x
    x = 215,296,266,368.38/507,014
  6. Step 6: Final answer
    x = 424,635.74

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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.