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Finding the Fourth Proportional to 616,263.53, 924,493.70 and 211,409.73

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Solution

The fourth proportional to 616,263.53, 924,493.70 and 211,409.73 is: 317,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,263.53 : 924,493.70 = 211,409.73 : x
  2. Step 2: Convert to fraction form
    616,263.53/924,493.70 = 211,409.73/x
  3. Step 3: Cross multiply
    616,263.53x = 924,493.70 × 211,409.73
  4. Step 4: Simplify right side
    616,263.53x = 195,446,964,032.23
  5. Step 5: Solve for x
    x = 195,446,964,032.23/616,263.53
  6. Step 6: Final answer
    x = 317,148.36

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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.