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Finding the Fourth Proportional to 551,152.80, 760,532.10 and 309,461.94

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Solution

The fourth proportional to 551,152.80, 760,532.10 and 309,461.94 is: 427,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,152.80 : 760,532.10 = 309,461.94 : x
  2. Step 2: Convert to fraction form
    551,152.80/760,532.10 = 309,461.94/x
  3. Step 3: Cross multiply
    551,152.80x = 760,532.10 × 309,461.94
  4. Step 4: Simplify right side
    551,152.80x = 235,355,739,098.27
  5. Step 5: Solve for x
    x = 235,355,739,098.27/551,152.80
  6. Step 6: Final answer
    x = 427,024.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.