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Finding the Fourth Proportional to 492,004.60, 738,006.90 and 447,681.40

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Solution

The fourth proportional to 492,004.60, 738,006.90 and 447,681.40 is: 671,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,004.60 : 738,006.90 = 447,681.40 : x
  2. Step 2: Convert to fraction form
    492,004.60/738,006.90 = 447,681.40/x
  3. Step 3: Cross multiply
    492,004.60x = 738,006.90 × 447,681.40
  4. Step 4: Simplify right side
    492,004.60x = 330,391,962,201.66
  5. Step 5: Solve for x
    x = 330,391,962,201.66/492,004.60
  6. Step 6: Final answer
    x = 671,522.10

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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.