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Finding the Fourth Proportional to 354,117.30, 497,163.90 and 354,117.30

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Solution

The fourth proportional to 354,117.30, 497,163.90 and 354,117.30 is: 497,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,117.30 : 497,163.90 = 354,117.30 : x
  2. Step 2: Convert to fraction form
    354,117.30/497,163.90 = 354,117.30/x
  3. Step 3: Cross multiply
    354,117.30x = 497,163.90 × 354,117.30
  4. Step 4: Simplify right side
    354,117.30x = 176,054,337,925.47
  5. Step 5: Solve for x
    x = 176,054,337,925.47/354,117.30
  6. Step 6: Final answer
    x = 497,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.