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Finding the Fourth Proportional to 364,468.13, 546,705.80 and 127,816.49

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Solution

The fourth proportional to 364,468.13, 546,705.80 and 127,816.49 is: 191,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,468.13 : 546,705.80 = 127,816.49 : x
  2. Step 2: Convert to fraction form
    364,468.13/546,705.80 = 127,816.49/x
  3. Step 3: Cross multiply
    364,468.13x = 546,705.80 × 127,816.49
  4. Step 4: Simplify right side
    364,468.13x = 69,878,015,779.56
  5. Step 5: Solve for x
    x = 69,878,015,779.56/364,468.13
  6. Step 6: Final answer
    x = 191,726.00

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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.