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Finding the Fourth Proportional to 304,614.36, 420,411.96 and 175,527.72

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Solution

The fourth proportional to 304,614.36, 420,411.96 and 175,527.72 is: 242,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614.36 : 420,411.96 = 175,527.72 : x
  2. Step 2: Convert to fraction form
    304,614.36/420,411.96 = 175,527.72/x
  3. Step 3: Cross multiply
    304,614.36x = 420,411.96 × 175,527.72
  4. Step 4: Simplify right side
    304,614.36x = 73,793,952,799.53
  5. Step 5: Solve for x
    x = 73,793,952,799.53/304,614.36
  6. Step 6: Final answer
    x = 242,253.69

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1.5x scale

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.