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Finding the Fourth Proportional to 491,681.60, 736,744.80 and 412,366.40

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Solution

The fourth proportional to 491,681.60, 736,744.80 and 412,366.40 is: 617,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,681.60 : 736,744.80 = 412,366.40 : x
  2. Step 2: Convert to fraction form
    491,681.60/736,744.80 = 412,366.40/x
  3. Step 3: Cross multiply
    491,681.60x = 736,744.80 × 412,366.40
  4. Step 4: Simplify right side
    491,681.60x = 303,808,800,894.72
  5. Step 5: Solve for x
    x = 303,808,800,894.72/491,681.60
  6. Step 6: Final answer
    x = 617,897.44

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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.