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Finding the Fourth Proportional to 535,740.20, 802,298.10 and 254,929.40

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Solution

The fourth proportional to 535,740.20, 802,298.10 and 254,929.40 is: 381,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,740.20 : 802,298.10 = 254,929.40 : x
  2. Step 2: Convert to fraction form
    535,740.20/802,298.10 = 254,929.40/x
  3. Step 3: Cross multiply
    535,740.20x = 802,298.10 × 254,929.40
  4. Step 4: Simplify right side
    535,740.20x = 204,529,373,254.14
  5. Step 5: Solve for x
    x = 204,529,373,254.14/535,740.20
  6. Step 6: Final answer
    x = 381,769.70

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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.