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Finding the Fourth Proportional to 476,464.83, 714,784.96 and 156,634.76

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Solution

The fourth proportional to 476,464.83, 714,784.96 and 156,634.76 is: 234,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,464.83 : 714,784.96 = 156,634.76 : x
  2. Step 2: Convert to fraction form
    476,464.83/714,784.96 = 156,634.76/x
  3. Step 3: Cross multiply
    476,464.83x = 714,784.96 × 156,634.76
  4. Step 4: Simplify right side
    476,464.83x = 111,960,171,762.90
  5. Step 5: Solve for x
    x = 111,960,171,762.90/476,464.83
  6. Step 6: Final answer
    x = 234,980.98

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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.