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Finding the Fourth Proportional to 507,045.88, 760,684.02 and 270,263.80

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Solution

The fourth proportional to 507,045.88, 760,684.02 and 270,263.80 is: 405,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,045.88 : 760,684.02 = 270,263.80 : x
  2. Step 2: Convert to fraction form
    507,045.88/760,684.02 = 270,263.80/x
  3. Step 3: Cross multiply
    507,045.88x = 760,684.02 × 270,263.80
  4. Step 4: Simplify right side
    507,045.88x = 205,585,353,844.48
  5. Step 5: Solve for x
    x = 205,585,353,844.48/507,045.88
  6. Step 6: Final answer
    x = 405,457.10

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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.