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Finding the Fourth Proportional to 524,114.40, 785,653.20 and 208,149.60

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Solution

The fourth proportional to 524,114.40, 785,653.20 and 208,149.60 is: 312,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,114.40 : 785,653.20 = 208,149.60 : x
  2. Step 2: Convert to fraction form
    524,114.40/785,653.20 = 208,149.60/x
  3. Step 3: Cross multiply
    524,114.40x = 785,653.20 × 208,149.60
  4. Step 4: Simplify right side
    524,114.40x = 163,533,399,318.72
  5. Step 5: Solve for x
    x = 163,533,399,318.72/524,114.40
  6. Step 6: Final answer
    x = 312,018.52

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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.