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Finding the Fourth Proportional to 356,813.76, 535,269.60 and 207,124.32

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Solution

The fourth proportional to 356,813.76, 535,269.60 and 207,124.32 is: 310,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,813.76 : 535,269.60 = 207,124.32 : x
  2. Step 2: Convert to fraction form
    356,813.76/535,269.60 = 207,124.32/x
  3. Step 3: Cross multiply
    356,813.76x = 535,269.60 × 207,124.32
  4. Step 4: Simplify right side
    356,813.76x = 110,867,351,916.67
  5. Step 5: Solve for x
    x = 110,867,351,916.67/356,813.76
  6. Step 6: Final answer
    x = 310,714.90

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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.