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Finding the Fourth Proportional to 402,749.67, 604,151.19 and 118,465.65

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Solution

The fourth proportional to 402,749.67, 604,151.19 and 118,465.65 is: 177,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,749.67 : 604,151.19 = 118,465.65 : x
  2. Step 2: Convert to fraction form
    402,749.67/604,151.19 = 118,465.65/x
  3. Step 3: Cross multiply
    402,749.67x = 604,151.19 × 118,465.65
  4. Step 4: Simplify right side
    402,749.67x = 71,571,163,421.62
  5. Step 5: Solve for x
    x = 71,571,163,421.62/402,749.67
  6. Step 6: Final answer
    x = 177,706.32

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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.