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Finding the Fourth Proportional to 507,218.68, 760,167.06 and 282,570.04

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Solution

The fourth proportional to 507,218.68, 760,167.06 and 282,570.04 is: 423,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,218.68 : 760,167.06 = 282,570.04 : x
  2. Step 2: Convert to fraction form
    507,218.68/760,167.06 = 282,570.04/x
  3. Step 3: Cross multiply
    507,218.68x = 760,167.06 × 282,570.04
  4. Step 4: Simplify right side
    507,218.68x = 214,800,436,550.88
  5. Step 5: Solve for x
    x = 214,800,436,550.88/507,218.68
  6. Step 6: Final answer
    x = 423,486.84

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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.