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Finding the Fourth Proportional to 492,658.04, 738,987.42 and 118,681.40

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Solution

The fourth proportional to 492,658.04, 738,987.42 and 118,681.40 is: 178,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,658.04 : 738,987.42 = 118,681.40 : x
  2. Step 2: Convert to fraction form
    492,658.04/738,987.42 = 118,681.40/x
  3. Step 3: Cross multiply
    492,658.04x = 738,987.42 × 118,681.40
  4. Step 4: Simplify right side
    492,658.04x = 87,704,061,587.99
  5. Step 5: Solve for x
    x = 87,704,061,587.99/492,658.04
  6. Step 6: Final answer
    x = 178,022.19

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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.