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Finding the Fourth Proportional to 507,302.68, 760,292.68 and 282,654.04

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Solution

The fourth proportional to 507,302.68, 760,292.68 and 282,654.04 is: 423,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,302.68 : 760,292.68 = 282,654.04 : x
  2. Step 2: Convert to fraction form
    507,302.68/760,292.68 = 282,654.04/x
  3. Step 3: Cross multiply
    507,302.68x = 760,292.68 × 282,654.04
  4. Step 4: Simplify right side
    507,302.68x = 214,899,797,584.43
  5. Step 5: Solve for x
    x = 214,899,797,584.43/507,302.68
  6. Step 6: Final answer
    x = 423,612.58

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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.