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Finding the Fourth Proportional to 461,631.25, 692,536.65 and 177,301

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Solution

The fourth proportional to 461,631.25, 692,536.65 and 177,301 is: 265,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,631.25 : 692,536.65 = 177,301 : x
  2. Step 2: Convert to fraction form
    461,631.25/692,536.65 = 177,301/x
  3. Step 3: Cross multiply
    461,631.25x = 692,536.65 × 177,301
  4. Step 4: Simplify right side
    461,631.25x = 122,787,440,581.65
  5. Step 5: Solve for x
    x = 122,787,440,581.65/461,631.25
  6. Step 6: Final answer
    x = 265,985.98

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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.