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Finding the Fourth Proportional to 561,956.52, 842,047.02 and 456,259.08

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Solution

The fourth proportional to 561,956.52, 842,047.02 and 456,259.08 is: 683,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,956.52 : 842,047.02 = 456,259.08 : x
  2. Step 2: Convert to fraction form
    561,956.52/842,047.02 = 456,259.08/x
  3. Step 3: Cross multiply
    561,956.52x = 842,047.02 × 456,259.08
  4. Step 4: Simplify right side
    561,956.52x = 384,191,598,661.94
  5. Step 5: Solve for x
    x = 384,191,598,661.94/561,956.52
  6. Step 6: Final answer
    x = 683,667.84

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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.