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Finding the Fourth Proportional to 517,425, 714,046.32 and 291,070.50

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Solution

The fourth proportional to 517,425, 714,046.32 and 291,070.50 is: 401,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,425 : 714,046.32 = 291,070.50 : x
  2. Step 2: Convert to fraction form
    517,425/714,046.32 = 291,070.50/x
  3. Step 3: Cross multiply
    517,425x = 714,046.32 × 291,070.50
  4. Step 4: Simplify right side
    517,425x = 207,837,819,385.56
  5. Step 5: Solve for x
    x = 207,837,819,385.56/517,425
  6. Step 6: Final answer
    x = 401,677.19

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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.