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Finding the Fourth Proportional to 497,359.80, 746,039.70 and 461,930.40

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Solution

The fourth proportional to 497,359.80, 746,039.70 and 461,930.40 is: 692,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,359.80 : 746,039.70 = 461,930.40 : x
  2. Step 2: Convert to fraction form
    497,359.80/746,039.70 = 461,930.40/x
  3. Step 3: Cross multiply
    497,359.80x = 746,039.70 × 461,930.40
  4. Step 4: Simplify right side
    497,359.80x = 344,618,417,036.88
  5. Step 5: Solve for x
    x = 344,618,417,036.88/497,359.80
  6. Step 6: Final answer
    x = 692,895.60

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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.