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Finding the Fourth Proportional to 451,833.48, 677,319.48 and 152,159.85

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Solution

The fourth proportional to 451,833.48, 677,319.48 and 152,159.85 is: 228,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,833.48 : 677,319.48 = 152,159.85 : x
  2. Step 2: Convert to fraction form
    451,833.48/677,319.48 = 152,159.85/x
  3. Step 3: Cross multiply
    451,833.48x = 677,319.48 × 152,159.85
  4. Step 4: Simplify right side
    451,833.48x = 103,060,830,478.88
  5. Step 5: Solve for x
    x = 103,060,830,478.88/451,833.48
  6. Step 6: Final answer
    x = 228,094.72

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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.