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Finding the Fourth Proportional to 355,214.10, 532,821.15 and 256,070.10

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Solution

The fourth proportional to 355,214.10, 532,821.15 and 256,070.10 is: 384,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,214.10 : 532,821.15 = 256,070.10 : x
  2. Step 2: Convert to fraction form
    355,214.10/532,821.15 = 256,070.10/x
  3. Step 3: Cross multiply
    355,214.10x = 532,821.15 × 256,070.10
  4. Step 4: Simplify right side
    355,214.10x = 136,439,565,162.62
  5. Step 5: Solve for x
    x = 136,439,565,162.62/355,214.10
  6. Step 6: Final answer
    x = 384,105.15

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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.