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Finding the Fourth Proportional to 304,533.02, 420,158.96 and 177,184.01

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Solution

The fourth proportional to 304,533.02, 420,158.96 and 177,184.01 is: 244,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,533.02 : 420,158.96 = 177,184.01 : x
  2. Step 2: Convert to fraction form
    304,533.02/420,158.96 = 177,184.01/x
  3. Step 3: Cross multiply
    304,533.02x = 420,158.96 × 177,184.01
  4. Step 4: Simplify right side
    304,533.02x = 74,445,448,484.31
  5. Step 5: Solve for x
    x = 74,445,448,484.31/304,533.02
  6. Step 6: Final answer
    x = 244,457.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.