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Finding the Fourth Proportional to 456,302.66, 683,971.31 and 171,870.13

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Solution

The fourth proportional to 456,302.66, 683,971.31 and 171,870.13 is: 257,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,302.66 : 683,971.31 = 171,870.13 : x
  2. Step 2: Convert to fraction form
    456,302.66/683,971.31 = 171,870.13/x
  3. Step 3: Cross multiply
    456,302.66x = 683,971.31 × 171,870.13
  4. Step 4: Simplify right side
    456,302.66x = 117,554,236,685.72
  5. Step 5: Solve for x
    x = 117,554,236,685.72/456,302.66
  6. Step 6: Final answer
    x = 257,623.39

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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.