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Finding the Fourth Proportional to 577,077.03, 865,714.64 and 257,342.49

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Solution

The fourth proportional to 577,077.03, 865,714.64 and 257,342.49 is: 386,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,077.03 : 865,714.64 = 257,342.49 : x
  2. Step 2: Convert to fraction form
    577,077.03/865,714.64 = 257,342.49/x
  3. Step 3: Cross multiply
    577,077.03x = 865,714.64 × 257,342.49
  4. Step 4: Simplify right side
    577,077.03x = 222,785,159,800.34
  5. Step 5: Solve for x
    x = 222,785,159,800.34/577,077.03
  6. Step 6: Final answer
    x = 386,057.92

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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.