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Finding the Fourth Proportional to 426,574.32, 639,895.50 and 146,094

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Solution

The fourth proportional to 426,574.32, 639,895.50 and 146,094 is: 219,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,574.32 : 639,895.50 = 146,094 : x
  2. Step 2: Convert to fraction form
    426,574.32/639,895.50 = 146,094/x
  3. Step 3: Cross multiply
    426,574.32x = 639,895.50 × 146,094
  4. Step 4: Simplify right side
    426,574.32x = 93,484,893,177
  5. Step 5: Solve for x
    x = 93,484,893,177/426,574.32
  6. Step 6: Final answer
    x = 219,152.65

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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.