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Finding the Fourth Proportional to 475,599.12, 712,895.64 and 175,887.12

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Solution

The fourth proportional to 475,599.12, 712,895.64 and 175,887.12 is: 263,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,599.12 : 712,895.64 = 175,887.12 : x
  2. Step 2: Convert to fraction form
    475,599.12/712,895.64 = 175,887.12/x
  3. Step 3: Cross multiply
    475,599.12x = 712,895.64 × 175,887.12
  4. Step 4: Simplify right side
    475,599.12x = 125,389,160,980.16
  5. Step 5: Solve for x
    x = 125,389,160,980.16/475,599.12
  6. Step 6: Final answer
    x = 263,644.64

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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.