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Finding the Fourth Proportional to 546,210.16, 819,315.23 and 172,233.16

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Solution

The fourth proportional to 546,210.16, 819,315.23 and 172,233.16 is: 258,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,210.16 : 819,315.23 = 172,233.16 : x
  2. Step 2: Convert to fraction form
    546,210.16/819,315.23 = 172,233.16/x
  3. Step 3: Cross multiply
    546,210.16x = 819,315.23 × 172,233.16
  4. Step 4: Simplify right side
    546,210.16x = 141,113,251,099.03
  5. Step 5: Solve for x
    x = 141,113,251,099.03/546,210.16
  6. Step 6: Final answer
    x = 258,349.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.