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Finding the Fourth Proportional to 461,639.80, 692,390.22 and 146,055.64

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Solution

The fourth proportional to 461,639.80, 692,390.22 and 146,055.64 is: 219,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,639.80 : 692,390.22 = 146,055.64 : x
  2. Step 2: Convert to fraction form
    461,639.80/692,390.22 = 146,055.64/x
  3. Step 3: Cross multiply
    461,639.80x = 692,390.22 × 146,055.64
  4. Step 4: Simplify right side
    461,639.80x = 101,127,496,711.84
  5. Step 5: Solve for x
    x = 101,127,496,711.84/461,639.80
  6. Step 6: Final answer
    x = 219,061.48

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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.