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Finding the Fourth Proportional to 385,030.53, 577,064.66 and 185,297.29

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Solution

The fourth proportional to 385,030.53, 577,064.66 and 185,297.29 is: 277,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,030.53 : 577,064.66 = 185,297.29 : x
  2. Step 2: Convert to fraction form
    385,030.53/577,064.66 = 185,297.29/x
  3. Step 3: Cross multiply
    385,030.53x = 577,064.66 × 185,297.29
  4. Step 4: Simplify right side
    385,030.53x = 106,928,515,283.62
  5. Step 5: Solve for x
    x = 106,928,515,283.62/385,030.53
  6. Step 6: Final answer
    x = 277,714.38

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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.