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Finding the Fourth Proportional to 501,538.56, 692,123.13 and 286,683.24

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Solution

The fourth proportional to 501,538.56, 692,123.13 and 286,683.24 is: 395,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,538.56 : 692,123.13 = 286,683.24 : x
  2. Step 2: Convert to fraction form
    501,538.56/692,123.13 = 286,683.24/x
  3. Step 3: Cross multiply
    501,538.56x = 692,123.13 × 286,683.24
  4. Step 4: Simplify right side
    501,538.56x = 198,420,099,116.31
  5. Step 5: Solve for x
    x = 198,420,099,116.31/501,538.56
  6. Step 6: Final answer
    x = 395,622.82

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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.