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Finding the Fourth Proportional to 461,638.24, 692,547.16 and 177,308

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Solution

The fourth proportional to 461,638.24, 692,547.16 and 177,308 is: 265,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,638.24 : 692,547.16 = 177,308 : x
  2. Step 2: Convert to fraction form
    461,638.24/692,547.16 = 177,308/x
  3. Step 3: Cross multiply
    461,638.24x = 692,547.16 × 177,308
  4. Step 4: Simplify right side
    461,638.24x = 122,794,151,845.28
  5. Step 5: Solve for x
    x = 122,794,151,845.28/461,638.24
  6. Step 6: Final answer
    x = 265,996.49

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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.