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Finding the Fourth Proportional to 461,374.30, 692,170.80 and 236,769.40

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Solution

The fourth proportional to 461,374.30, 692,170.80 and 236,769.40 is: 355,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,374.30 : 692,170.80 = 236,769.40 : x
  2. Step 2: Convert to fraction form
    461,374.30/692,170.80 = 236,769.40/x
  3. Step 3: Cross multiply
    461,374.30x = 692,170.80 × 236,769.40
  4. Step 4: Simplify right side
    461,374.30x = 163,884,865,013.52
  5. Step 5: Solve for x
    x = 163,884,865,013.52/461,374.30
  6. Step 6: Final answer
    x = 355,210.22

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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.