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Finding the Fourth Proportional to 462,333.64, 693,303.54 and 181,654

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Solution

The fourth proportional to 462,333.64, 693,303.54 and 181,654 is: 272,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,333.64 : 693,303.54 = 181,654 : x
  2. Step 2: Convert to fraction form
    462,333.64/693,303.54 = 181,654/x
  3. Step 3: Cross multiply
    462,333.64x = 693,303.54 × 181,654
  4. Step 4: Simplify right side
    462,333.64x = 125,941,361,255.16
  5. Step 5: Solve for x
    x = 125,941,361,255.16/462,333.64
  6. Step 6: Final answer
    x = 272,403.63

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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.