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Finding the Fourth Proportional to 304,165.58, 456,381.72 and 144,356.93

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Solution

The fourth proportional to 304,165.58, 456,381.72 and 144,356.93 is: 216,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,165.58 : 456,381.72 = 144,356.93 : x
  2. Step 2: Convert to fraction form
    304,165.58/456,381.72 = 144,356.93/x
  3. Step 3: Cross multiply
    304,165.58x = 456,381.72 × 144,356.93
  4. Step 4: Simplify right side
    304,165.58x = 65,881,861,725.41
  5. Step 5: Solve for x
    x = 65,881,861,725.41/304,165.58
  6. Step 6: Final answer
    x = 216,598.68

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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.