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Finding the Fourth Proportional to 517,590.50, 714,285.83 and 291,236

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Solution

The fourth proportional to 517,590.50, 714,285.83 and 291,236 is: 401,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,590.50 : 714,285.83 = 291,236 : x
  2. Step 2: Convert to fraction form
    517,590.50/714,285.83 = 291,236/x
  3. Step 3: Cross multiply
    517,590.50x = 714,285.83 × 291,236
  4. Step 4: Simplify right side
    517,590.50x = 208,025,746,529.70
  5. Step 5: Solve for x
    x = 208,025,746,529.70/517,590.50
  6. Step 6: Final answer
    x = 401,911.83

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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.