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Finding the Fourth Proportional to 461,646.80, 692,340.60 and 146,200.40

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Solution

The fourth proportional to 461,646.80, 692,340.60 and 146,200.40 is: 219,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,646.80 : 692,340.60 = 146,200.40 : x
  2. Step 2: Convert to fraction form
    461,646.80/692,340.60 = 146,200.40/x
  3. Step 3: Cross multiply
    461,646.80x = 692,340.60 × 146,200.40
  4. Step 4: Simplify right side
    461,646.80x = 101,220,472,656.24
  5. Step 5: Solve for x
    x = 101,220,472,656.24/461,646.80
  6. Step 6: Final answer
    x = 219,259.56

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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.