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Finding the Fourth Proportional to 523,751.64, 785,611.92 and 144,695.12

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Solution

The fourth proportional to 523,751.64, 785,611.92 and 144,695.12 is: 217,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,751.64 : 785,611.92 = 144,695.12 : x
  2. Step 2: Convert to fraction form
    523,751.64/785,611.92 = 144,695.12/x
  3. Step 3: Cross multiply
    523,751.64x = 785,611.92 × 144,695.12
  4. Step 4: Simplify right side
    523,751.64x = 113,674,211,037.83
  5. Step 5: Solve for x
    x = 113,674,211,037.83/523,751.64
  6. Step 6: Final answer
    x = 217,038.39

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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.