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Finding the Fourth Proportional to 311,952.52, 430,547.46 and 176,025

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Solution

The fourth proportional to 311,952.52, 430,547.46 and 176,025 is: 242,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.52 : 430,547.46 = 176,025 : x
  2. Step 2: Convert to fraction form
    311,952.52/430,547.46 = 176,025/x
  3. Step 3: Cross multiply
    311,952.52x = 430,547.46 × 176,025
  4. Step 4: Simplify right side
    311,952.52x = 75,787,116,646.50
  5. Step 5: Solve for x
    x = 75,787,116,646.50/311,952.52
  6. Step 6: Final answer
    x = 242,944.40

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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.