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Finding the Fourth Proportional to 523,689.76, 785,535.26 and 168,756.64

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Solution

The fourth proportional to 523,689.76, 785,535.26 and 168,756.64 is: 253,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,689.76 : 785,535.26 = 168,756.64 : x
  2. Step 2: Convert to fraction form
    523,689.76/785,535.26 = 168,756.64/x
  3. Step 3: Cross multiply
    523,689.76x = 785,535.26 × 168,756.64
  4. Step 4: Simplify right side
    523,689.76x = 132,564,291,079.13
  5. Step 5: Solve for x
    x = 132,564,291,079.13/523,689.76
  6. Step 6: Final answer
    x = 253,135.16

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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.