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Finding the Fourth Proportional to 364,403.76, 546,622.32 and 111,666

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Solution

The fourth proportional to 364,403.76, 546,622.32 and 111,666 is: 167,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,403.76 : 546,622.32 = 111,666 : x
  2. Step 2: Convert to fraction form
    364,403.76/546,622.32 = 111,666/x
  3. Step 3: Cross multiply
    364,403.76x = 546,622.32 × 111,666
  4. Step 4: Simplify right side
    364,403.76x = 61,039,127,985.12
  5. Step 5: Solve for x
    x = 61,039,127,985.12/364,403.76
  6. Step 6: Final answer
    x = 167,504.11

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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.