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Finding the Fourth Proportional to 564,852, 847,628.16 and 328,306.08

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Solution

The fourth proportional to 564,852, 847,628.16 and 328,306.08 is: 492,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,852 : 847,628.16 = 328,306.08 : x
  2. Step 2: Convert to fraction form
    564,852/847,628.16 = 328,306.08/x
  3. Step 3: Cross multiply
    564,852x = 847,628.16 × 328,306.08
  4. Step 4: Simplify right side
    564,852x = 278,281,478,507.21
  5. Step 5: Solve for x
    x = 278,281,478,507.21/564,852
  6. Step 6: Final answer
    x = 492,662.64

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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.