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Finding the Fourth Proportional to 492,271.66, 738,407.40 and 118,294.66

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Solution

The fourth proportional to 492,271.66, 738,407.40 and 118,294.66 is: 177,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,271.66 : 738,407.40 = 118,294.66 : x
  2. Step 2: Convert to fraction form
    492,271.66/738,407.40 = 118,294.66/x
  3. Step 3: Cross multiply
    492,271.66x = 738,407.40 × 118,294.66
  4. Step 4: Simplify right side
    492,271.66x = 87,349,648,632.45
  5. Step 5: Solve for x
    x = 87,349,648,632.45/492,271.66
  6. Step 6: Final answer
    x = 177,441.96

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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.