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Finding the Fourth Proportional to 507,882.16, 761,984.20 and 305,699.68

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Solution

The fourth proportional to 507,882.16, 761,984.20 and 305,699.68 is: 458,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,882.16 : 761,984.20 = 305,699.68 : x
  2. Step 2: Convert to fraction form
    507,882.16/761,984.20 = 305,699.68/x
  3. Step 3: Cross multiply
    507,882.16x = 761,984.20 × 305,699.68
  4. Step 4: Simplify right side
    507,882.16x = 232,938,326,105.06
  5. Step 5: Solve for x
    x = 232,938,326,105.06/507,882.16
  6. Step 6: Final answer
    x = 458,646.40

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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.