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Finding the Fourth Proportional to 507,299.94, 760,118.76 and 307,685.16

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Solution

The fourth proportional to 507,299.94, 760,118.76 and 307,685.16 is: 461,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,299.94 : 760,118.76 = 307,685.16 : x
  2. Step 2: Convert to fraction form
    507,299.94/760,118.76 = 307,685.16/x
  3. Step 3: Cross multiply
    507,299.94x = 760,118.76 × 307,685.16
  4. Step 4: Simplify right side
    507,299.94x = 233,877,262,289.60
  5. Step 5: Solve for x
    x = 233,877,262,289.60/507,299.94
  6. Step 6: Final answer
    x = 461,023.63

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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.