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Finding the Fourth Proportional to 702,412.48, 969,225.51 and 411,914.35

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Solution

The fourth proportional to 702,412.48, 969,225.51 and 411,914.35 is: 568,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,412.48 : 969,225.51 = 411,914.35 : x
  2. Step 2: Convert to fraction form
    702,412.48/969,225.51 = 411,914.35/x
  3. Step 3: Cross multiply
    702,412.48x = 969,225.51 × 411,914.35
  4. Step 4: Simplify right side
    702,412.48x = 399,237,895,955.07
  5. Step 5: Solve for x
    x = 399,237,895,955.07/702,412.48
  6. Step 6: Final answer
    x = 568,380.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.