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Finding the Fourth Proportional to 304,697.61, 456,766.47 and 104,970.51

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Solution

The fourth proportional to 304,697.61, 456,766.47 and 104,970.51 is: 157,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,697.61 : 456,766.47 = 104,970.51 : x
  2. Step 2: Convert to fraction form
    304,697.61/456,766.47 = 104,970.51/x
  3. Step 3: Cross multiply
    304,697.61x = 456,766.47 × 104,970.51
  4. Step 4: Simplify right side
    304,697.61x = 47,947,009,306.80
  5. Step 5: Solve for x
    x = 47,947,009,306.80/304,697.61
  6. Step 6: Final answer
    x = 157,359.32

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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.