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Finding the Fourth Proportional to 312,006.80, 430,532.34 and 176,032.82

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Solution

The fourth proportional to 312,006.80, 430,532.34 and 176,032.82 is: 242,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.80 : 430,532.34 = 176,032.82 : x
  2. Step 2: Convert to fraction form
    312,006.80/430,532.34 = 176,032.82/x
  3. Step 3: Cross multiply
    312,006.80x = 430,532.34 × 176,032.82
  4. Step 4: Simplify right side
    312,006.80x = 75,787,821,911.40
  5. Step 5: Solve for x
    x = 75,787,821,911.40/312,006.80
  6. Step 6: Final answer
    x = 242,904.39

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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.