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Finding the Fourth Proportional to 577,731.13, 797,254.05 and 319,601.41

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Solution

The fourth proportional to 577,731.13, 797,254.05 and 319,601.41 is: 441,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,731.13 : 797,254.05 = 319,601.41 : x
  2. Step 2: Convert to fraction form
    577,731.13/797,254.05 = 319,601.41/x
  3. Step 3: Cross multiply
    577,731.13x = 797,254.05 × 319,601.41
  4. Step 4: Simplify right side
    577,731.13x = 254,803,518,508.21
  5. Step 5: Solve for x
    x = 254,803,518,508.21/577,731.13
  6. Step 6: Final answer
    x = 441,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.