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Finding the Fourth Proportional to 301,868.10, 452,802.15 and 213,294.60

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Solution

The fourth proportional to 301,868.10, 452,802.15 and 213,294.60 is: 319,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,868.10 : 452,802.15 = 213,294.60 : x
  2. Step 2: Convert to fraction form
    301,868.10/452,802.15 = 213,294.60/x
  3. Step 3: Cross multiply
    301,868.10x = 452,802.15 × 213,294.60
  4. Step 4: Simplify right side
    301,868.10x = 96,580,253,463.39
  5. Step 5: Solve for x
    x = 96,580,253,463.39/301,868.10
  6. Step 6: Final answer
    x = 319,941.90

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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.