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Finding the Fourth Proportional to 364,064.93, 546,009.90 and 186,480.53

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Solution

The fourth proportional to 364,064.93, 546,009.90 and 186,480.53 is: 279,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.93 : 546,009.90 = 186,480.53 : x
  2. Step 2: Convert to fraction form
    364,064.93/546,009.90 = 186,480.53/x
  3. Step 3: Cross multiply
    364,064.93x = 546,009.90 × 186,480.53
  4. Step 4: Simplify right side
    364,064.93x = 101,820,215,537.25
  5. Step 5: Solve for x
    x = 101,820,215,537.25/364,064.93
  6. Step 6: Final answer
    x = 279,675.98

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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.