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Finding the Fourth Proportional to 458,506.12, 687,802.92 and 178,045.24

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Solution

The fourth proportional to 458,506.12, 687,802.92 and 178,045.24 is: 267,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506.12 : 687,802.92 = 178,045.24 : x
  2. Step 2: Convert to fraction form
    458,506.12/687,802.92 = 178,045.24/x
  3. Step 3: Cross multiply
    458,506.12x = 687,802.92 × 178,045.24
  4. Step 4: Simplify right side
    458,506.12x = 122,460,035,964.10
  5. Step 5: Solve for x
    x = 122,460,035,964.10/458,506.12
  6. Step 6: Final answer
    x = 267,084.84

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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.