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Finding the Fourth Proportional to 542,575.22, 813,210.00 and 200,746.11

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Solution

The fourth proportional to 542,575.22, 813,210.00 and 200,746.11 is: 300,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,575.22 : 813,210.00 = 200,746.11 : x
  2. Step 2: Convert to fraction form
    542,575.22/813,210.00 = 200,746.11/x
  3. Step 3: Cross multiply
    542,575.22x = 813,210.00 × 200,746.11
  4. Step 4: Simplify right side
    542,575.22x = 163,248,740,548.92
  5. Step 5: Solve for x
    x = 163,248,740,548.92/542,575.22
  6. Step 6: Final answer
    x = 300,877.62

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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.