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Finding the Fourth Proportional to 461,491.80, 692,547.30 and 161,971.80

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Solution

The fourth proportional to 461,491.80, 692,547.30 and 161,971.80 is: 243,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,491.80 : 692,547.30 = 161,971.80 : x
  2. Step 2: Convert to fraction form
    461,491.80/692,547.30 = 161,971.80/x
  3. Step 3: Cross multiply
    461,491.80x = 692,547.30 × 161,971.80
  4. Step 4: Simplify right side
    461,491.80x = 112,173,132,766.14
  5. Step 5: Solve for x
    x = 112,173,132,766.14/461,491.80
  6. Step 6: Final answer
    x = 243,066.36

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1.5x scale

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.