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Finding the Fourth Proportional to 507,298.68, 760,286.70 and 282,650.04

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Solution

The fourth proportional to 507,298.68, 760,286.70 and 282,650.04 is: 423,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298.68 : 760,286.70 = 282,650.04 : x
  2. Step 2: Convert to fraction form
    507,298.68/760,286.70 = 282,650.04/x
  3. Step 3: Cross multiply
    507,298.68x = 760,286.70 × 282,650.04
  4. Step 4: Simplify right side
    507,298.68x = 214,895,066,166.47
  5. Step 5: Solve for x
    x = 214,895,066,166.47/507,298.68
  6. Step 6: Final answer
    x = 423,606.59

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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.