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Finding the Fourth Proportional to 304,827.64, 457,271.50 and 105,121.88

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Solution

The fourth proportional to 304,827.64, 457,271.50 and 105,121.88 is: 157,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,827.64 : 457,271.50 = 105,121.88 : x
  2. Step 2: Convert to fraction form
    304,827.64/457,271.50 = 105,121.88/x
  3. Step 3: Cross multiply
    304,827.64x = 457,271.50 × 105,121.88
  4. Step 4: Simplify right side
    304,827.64x = 48,069,239,750.42
  5. Step 5: Solve for x
    x = 48,069,239,750.42/304,827.64
  6. Step 6: Final answer
    x = 157,693.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.