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Finding the Fourth Proportional to 564,355.13, 846,809.46 and 264,860.06

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Solution

The fourth proportional to 564,355.13, 846,809.46 and 264,860.06 is: 397,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,355.13 : 846,809.46 = 264,860.06 : x
  2. Step 2: Convert to fraction form
    564,355.13/846,809.46 = 264,860.06/x
  3. Step 3: Cross multiply
    564,355.13x = 846,809.46 × 264,860.06
  4. Step 4: Simplify right side
    564,355.13x = 224,286,004,384.17
  5. Step 5: Solve for x
    x = 224,286,004,384.17/564,355.13
  6. Step 6: Final answer
    x = 397,419.98

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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.