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Finding the Fourth Proportional to 517,590, 714,285.14 and 291,235.50

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Solution

The fourth proportional to 517,590, 714,285.14 and 291,235.50 is: 401,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,590 : 714,285.14 = 291,235.50 : x
  2. Step 2: Convert to fraction form
    517,590/714,285.14 = 291,235.50/x
  3. Step 3: Cross multiply
    517,590x = 714,285.14 × 291,235.50
  4. Step 4: Simplify right side
    517,590x = 208,025,188,434.29
  5. Step 5: Solve for x
    x = 208,025,188,434.29/517,590
  6. Step 6: Final answer
    x = 401,911.14

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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.