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Finding the Fourth Proportional to 653,305.72, 901,606.46 and 362,951.32

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Solution

The fourth proportional to 653,305.72, 901,606.46 and 362,951.32 is: 500,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,305.72 : 901,606.46 = 362,951.32 : x
  2. Step 2: Convert to fraction form
    653,305.72/901,606.46 = 362,951.32/x
  3. Step 3: Cross multiply
    653,305.72x = 901,606.46 × 362,951.32
  4. Step 4: Simplify right side
    653,305.72x = 327,239,254,777.53
  5. Step 5: Solve for x
    x = 327,239,254,777.53/653,305.72
  6. Step 6: Final answer
    x = 500,897.58

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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.