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Finding the Fourth Proportional to 475,808.94, 656,624.76 and 260,947.14

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Solution

The fourth proportional to 475,808.94, 656,624.76 and 260,947.14 is: 360,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,808.94 : 656,624.76 = 260,947.14 : x
  2. Step 2: Convert to fraction form
    475,808.94/656,624.76 = 260,947.14/x
  3. Step 3: Cross multiply
    475,808.94x = 656,624.76 × 260,947.14
  4. Step 4: Simplify right side
    475,808.94x = 171,344,353,175.19
  5. Step 5: Solve for x
    x = 171,344,353,175.19/475,808.94
  6. Step 6: Final answer
    x = 360,111.67

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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.