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Finding the Fourth Proportional to 461,911.80, 692,738.10 and 146,465.40

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Solution

The fourth proportional to 461,911.80, 692,738.10 and 146,465.40 is: 219,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,911.80 : 692,738.10 = 146,465.40 : x
  2. Step 2: Convert to fraction form
    461,911.80/692,738.10 = 146,465.40/x
  3. Step 3: Cross multiply
    461,911.80x = 692,738.10 × 146,465.40
  4. Step 4: Simplify right side
    461,911.80x = 101,462,162,911.74
  5. Step 5: Solve for x
    x = 101,462,162,911.74/461,911.80
  6. Step 6: Final answer
    x = 219,657.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.