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Finding the Fourth Proportional to 517,419, 714,038.04 and 291,064.50

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Solution

The fourth proportional to 517,419, 714,038.04 and 291,064.50 is: 401,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,419 : 714,038.04 = 291,064.50 : x
  2. Step 2: Convert to fraction form
    517,419/714,038.04 = 291,064.50/x
  3. Step 3: Cross multiply
    517,419x = 714,038.04 × 291,064.50
  4. Step 4: Simplify right side
    517,419x = 207,831,125,093.58
  5. Step 5: Solve for x
    x = 207,831,125,093.58/517,419
  6. Step 6: Final answer
    x = 401,668.91

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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.