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Finding the Fourth Proportional to 705,967.83, 974,243.14 and 383,677.95

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Solution

The fourth proportional to 705,967.83, 974,243.14 and 383,677.95 is: 529,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,967.83 : 974,243.14 = 383,677.95 : x
  2. Step 2: Convert to fraction form
    705,967.83/974,243.14 = 383,677.95/x
  3. Step 3: Cross multiply
    705,967.83x = 974,243.14 × 383,677.95
  4. Step 4: Simplify right side
    705,967.83x = 373,795,610,756.76
  5. Step 5: Solve for x
    x = 373,795,610,756.76/705,967.83
  6. Step 6: Final answer
    x = 529,479.67

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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.