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Finding the Fourth Proportional to 462,056.40, 692,339.40 and 261,781.20

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Solution

The fourth proportional to 462,056.40, 692,339.40 and 261,781.20 is: 392,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,056.40 : 692,339.40 = 261,781.20 : x
  2. Step 2: Convert to fraction form
    462,056.40/692,339.40 = 261,781.20/x
  3. Step 3: Cross multiply
    462,056.40x = 692,339.40 × 261,781.20
  4. Step 4: Simplify right side
    462,056.40x = 181,241,438,939.28
  5. Step 5: Solve for x
    x = 181,241,438,939.28/462,056.40
  6. Step 6: Final answer
    x = 392,249.60

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1.5x scale

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.