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Finding the Fourth Proportional to 384,746.70, 577,129.95 and 182,295.30

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Solution

The fourth proportional to 384,746.70, 577,129.95 and 182,295.30 is: 273,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746.70 : 577,129.95 = 182,295.30 : x
  2. Step 2: Convert to fraction form
    384,746.70/577,129.95 = 182,295.30/x
  3. Step 3: Cross multiply
    384,746.70x = 577,129.95 × 182,295.30
  4. Step 4: Simplify right side
    384,746.70x = 105,208,077,374.24
  5. Step 5: Solve for x
    x = 105,208,077,374.24/384,746.70
  6. Step 6: Final answer
    x = 273,447.64

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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.