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Finding the Fourth Proportional to 507,900.24, 761,864.40 and 283,134.96

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Solution

The fourth proportional to 507,900.24, 761,864.40 and 283,134.96 is: 424,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,900.24 : 761,864.40 = 283,134.96 : x
  2. Step 2: Convert to fraction form
    507,900.24/761,864.40 = 283,134.96/x
  3. Step 3: Cross multiply
    507,900.24x = 761,864.40 × 283,134.96
  4. Step 4: Simplify right side
    507,900.24x = 215,710,446,419.42
  5. Step 5: Solve for x
    x = 215,710,446,419.42/507,900.24
  6. Step 6: Final answer
    x = 424,710.27

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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.