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Finding the Fourth Proportional to 438,099.90, 653,980.80 and 384,955.80

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Solution

The fourth proportional to 438,099.90, 653,980.80 and 384,955.80 is: 574,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,099.90 : 653,980.80 = 384,955.80 : x
  2. Step 2: Convert to fraction form
    438,099.90/653,980.80 = 384,955.80/x
  3. Step 3: Cross multiply
    438,099.90x = 653,980.80 × 384,955.80
  4. Step 4: Simplify right side
    438,099.90x = 251,753,702,048.64
  5. Step 5: Solve for x
    x = 251,753,702,048.64/438,099.90
  6. Step 6: Final answer
    x = 574,649.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.