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Finding the Fourth Proportional to 364,317.50, 546,512.71 and 111,595.07

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Solution

The fourth proportional to 364,317.50, 546,512.71 and 111,595.07 is: 167,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,317.50 : 546,512.71 = 111,595.07 : x
  2. Step 2: Convert to fraction form
    364,317.50/546,512.71 = 111,595.07/x
  3. Step 3: Cross multiply
    364,317.50x = 546,512.71 × 111,595.07
  4. Step 4: Simplify right side
    364,317.50x = 60,988,124,128.34
  5. Step 5: Solve for x
    x = 60,988,124,128.34/364,317.50
  6. Step 6: Final answer
    x = 167,403.77

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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.