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Finding the Fourth Proportional to 604,927.50, 907,474.24 and 205,461

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Solution

The fourth proportional to 604,927.50, 907,474.24 and 205,461 is: 308,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,927.50 : 907,474.24 = 205,461 : x
  2. Step 2: Convert to fraction form
    604,927.50/907,474.24 = 205,461/x
  3. Step 3: Cross multiply
    604,927.50x = 907,474.24 × 205,461
  4. Step 4: Simplify right side
    604,927.50x = 186,450,564,824.64
  5. Step 5: Solve for x
    x = 186,450,564,824.64/604,927.50
  6. Step 6: Final answer
    x = 308,219.69

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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.