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Finding the Fourth Proportional to 497,056.01, 685,956.71 and 282,216.07

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Solution

The fourth proportional to 497,056.01, 685,956.71 and 282,216.07 is: 389,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,056.01 : 685,956.71 = 282,216.07 : x
  2. Step 2: Convert to fraction form
    497,056.01/685,956.71 = 282,216.07/x
  3. Step 3: Cross multiply
    497,056.01x = 685,956.71 × 282,216.07
  4. Step 4: Simplify right side
    497,056.01x = 193,588,006,886.33
  5. Step 5: Solve for x
    x = 193,588,006,886.33/497,056.01
  6. Step 6: Final answer
    x = 389,469.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.