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Finding the Fourth Proportional to 564,389.64, 846,667.08 and 264,900.64

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Solution

The fourth proportional to 564,389.64, 846,667.08 and 264,900.64 is: 397,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,389.64 : 846,667.08 = 264,900.64 : x
  2. Step 2: Convert to fraction form
    564,389.64/846,667.08 = 264,900.64/x
  3. Step 3: Cross multiply
    564,389.64x = 846,667.08 × 264,900.64
  4. Step 4: Simplify right side
    564,389.64x = 224,282,651,358.93
  5. Step 5: Solve for x
    x = 224,282,651,358.93/564,389.64
  6. Step 6: Final answer
    x = 397,389.74

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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.