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Finding the Fourth Proportional to 501,644.68, 692,243.22 and 286,756.36

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Solution

The fourth proportional to 501,644.68, 692,243.22 and 286,756.36 is: 395,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,644.68 : 692,243.22 = 286,756.36 : x
  2. Step 2: Convert to fraction form
    501,644.68/692,243.22 = 286,756.36/x
  3. Step 3: Cross multiply
    501,644.68x = 692,243.22 × 286,756.36
  4. Step 4: Simplify right side
    501,644.68x = 198,505,146,001.88
  5. Step 5: Solve for x
    x = 198,505,146,001.88/501,644.68
  6. Step 6: Final answer
    x = 395,708.66

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1.5x scale

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.