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Finding the Fourth Proportional to 357,543.72, 536,142.24 and 207,827.10

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Solution

The fourth proportional to 357,543.72, 536,142.24 and 207,827.10 is: 311,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,543.72 : 536,142.24 = 207,827.10 : x
  2. Step 2: Convert to fraction form
    357,543.72/536,142.24 = 207,827.10/x
  3. Step 3: Cross multiply
    357,543.72x = 536,142.24 × 207,827.10
  4. Step 4: Simplify right side
    357,543.72x = 111,424,886,926.70
  5. Step 5: Solve for x
    x = 111,424,886,926.70/357,543.72
  6. Step 6: Final answer
    x = 311,639.89

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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.