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Finding the Fourth Proportional to 407,881.29, 611,834.00 and 194,671.67

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Solution

The fourth proportional to 407,881.29, 611,834.00 and 194,671.67 is: 292,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,881.29 : 611,834.00 = 194,671.67 : x
  2. Step 2: Convert to fraction form
    407,881.29/611,834.00 = 194,671.67/x
  3. Step 3: Cross multiply
    407,881.29x = 611,834.00 × 194,671.67
  4. Step 4: Simplify right side
    407,881.29x = 119,106,742,510.25
  5. Step 5: Solve for x
    x = 119,106,742,510.25/407,881.29
  6. Step 6: Final answer
    x = 292,013.25

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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.