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Finding the Fourth Proportional to 383,856.40, 575,784.60 and 295,282.90

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Solution

The fourth proportional to 383,856.40, 575,784.60 and 295,282.90 is: 442,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856.40 : 575,784.60 = 295,282.90 : x
  2. Step 2: Convert to fraction form
    383,856.40/575,784.60 = 295,282.90/x
  3. Step 3: Cross multiply
    383,856.40x = 575,784.60 × 295,282.90
  4. Step 4: Simplify right side
    383,856.40x = 170,019,346,463.34
  5. Step 5: Solve for x
    x = 170,019,346,463.34/383,856.40
  6. Step 6: Final answer
    x = 442,924.35

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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.