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Finding the Fourth Proportional to 364,399.84, 546,225.36 and 139,699.36

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Solution

The fourth proportional to 364,399.84, 546,225.36 and 139,699.36 is: 209,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,399.84 : 546,225.36 = 139,699.36 : x
  2. Step 2: Convert to fraction form
    364,399.84/546,225.36 = 139,699.36/x
  3. Step 3: Cross multiply
    364,399.84x = 546,225.36 × 139,699.36
  4. Step 4: Simplify right side
    364,399.84x = 76,307,333,207.77
  5. Step 5: Solve for x
    x = 76,307,333,207.77/364,399.84
  6. Step 6: Final answer
    x = 209,405.51

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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.