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Finding the Fourth Proportional to 517,611.08, 714,314.10 and 291,256.52

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Solution

The fourth proportional to 517,611.08, 714,314.10 and 291,256.52 is: 401,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,611.08 : 714,314.10 = 291,256.52 : x
  2. Step 2: Convert to fraction form
    517,611.08/714,314.10 = 291,256.52/x
  3. Step 3: Cross multiply
    517,611.08x = 714,314.10 × 291,256.52
  4. Step 4: Simplify right side
    517,611.08x = 208,048,638,952.93
  5. Step 5: Solve for x
    x = 208,048,638,952.93/517,611.08
  6. Step 6: Final answer
    x = 401,940.08

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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.