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Finding the Fourth Proportional to 430,510.16, 645,775.88 and 205,894.33

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Solution

The fourth proportional to 430,510.16, 645,775.88 and 205,894.33 is: 308,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,510.16 : 645,775.88 = 205,894.33 : x
  2. Step 2: Convert to fraction form
    430,510.16/645,775.88 = 205,894.33/x
  3. Step 3: Cross multiply
    430,510.16x = 645,775.88 × 205,894.33
  4. Step 4: Simplify right side
    430,510.16x = 132,961,589,498.85
  5. Step 5: Solve for x
    x = 132,961,589,498.85/430,510.16
  6. Step 6: Final answer
    x = 308,846.58

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1.5x scale

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.