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Finding the Fourth Proportional to 304,994.97, 457,507.04 and 147,356.01

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Solution

The fourth proportional to 304,994.97, 457,507.04 and 147,356.01 is: 221,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,994.97 : 457,507.04 = 147,356.01 : x
  2. Step 2: Convert to fraction form
    304,994.97/457,507.04 = 147,356.01/x
  3. Step 3: Cross multiply
    304,994.97x = 457,507.04 × 147,356.01
  4. Step 4: Simplify right side
    304,994.97x = 67,416,411,224.53
  5. Step 5: Solve for x
    x = 67,416,411,224.53/304,994.97
  6. Step 6: Final answer
    x = 221,041.06

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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.