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Finding the Fourth Proportional to 316,946.44, 475,416.06 and 77,061.70

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Solution

The fourth proportional to 316,946.44, 475,416.06 and 77,061.70 is: 115,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,946.44 : 475,416.06 = 77,061.70 : x
  2. Step 2: Convert to fraction form
    316,946.44/475,416.06 = 77,061.70/x
  3. Step 3: Cross multiply
    316,946.44x = 475,416.06 × 77,061.70
  4. Step 4: Simplify right side
    316,946.44x = 36,636,369,790.90
  5. Step 5: Solve for x
    x = 36,636,369,790.90/316,946.44
  6. Step 6: Final answer
    x = 115,591.67

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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.