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Finding the Fourth Proportional to 564,130.48, 845,400.04 and 311,524.69

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Solution

The fourth proportional to 564,130.48, 845,400.04 and 311,524.69 is: 466,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,130.48 : 845,400.04 = 311,524.69 : x
  2. Step 2: Convert to fraction form
    564,130.48/845,400.04 = 311,524.69/x
  3. Step 3: Cross multiply
    564,130.48x = 845,400.04 × 311,524.69
  4. Step 4: Simplify right side
    564,130.48x = 263,362,979,602.36
  5. Step 5: Solve for x
    x = 263,362,979,602.36/564,130.48
  6. Step 6: Final answer
    x = 466,847.64

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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.