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Finding the Fourth Proportional to 533,176.46, 735,783.44 and 291,460.04

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Solution

The fourth proportional to 533,176.46, 735,783.44 and 291,460.04 is: 402,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,176.46 : 735,783.44 = 291,460.04 : x
  2. Step 2: Convert to fraction form
    533,176.46/735,783.44 = 291,460.04/x
  3. Step 3: Cross multiply
    533,176.46x = 735,783.44 × 291,460.04
  4. Step 4: Simplify right side
    533,176.46x = 214,451,470,853.74
  5. Step 5: Solve for x
    x = 214,451,470,853.74/533,176.46
  6. Step 6: Final answer
    x = 402,214.81

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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.