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Finding the Fourth Proportional to 304,996.47, 457,509.29 and 147,357.51

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Solution

The fourth proportional to 304,996.47, 457,509.29 and 147,357.51 is: 221,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,996.47 : 457,509.29 = 147,357.51 : x
  2. Step 2: Convert to fraction form
    304,996.47/457,509.29 = 147,357.51/x
  3. Step 3: Cross multiply
    304,996.47x = 457,509.29 × 147,357.51
  4. Step 4: Simplify right side
    304,996.47x = 67,417,429,039.48
  5. Step 5: Solve for x
    x = 67,417,429,039.48/304,996.47
  6. Step 6: Final answer
    x = 221,043.31

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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.