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Finding the Fourth Proportional to 497,866.48, 687,629.52 and 362,505.76

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Solution

The fourth proportional to 497,866.48, 687,629.52 and 362,505.76 is: 500,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,866.48 : 687,629.52 = 362,505.76 : x
  2. Step 2: Convert to fraction form
    497,866.48/687,629.52 = 362,505.76/x
  3. Step 3: Cross multiply
    497,866.48x = 687,629.52 × 362,505.76
  4. Step 4: Simplify right side
    497,866.48x = 249,269,661,746.04
  5. Step 5: Solve for x
    x = 249,269,661,746.04/497,866.48
  6. Step 6: Final answer
    x = 500,675.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.