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Finding the Fourth Proportional to 564,353.25, 846,806.64 and 264,858.18

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Solution

The fourth proportional to 564,353.25, 846,806.64 and 264,858.18 is: 397,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,353.25 : 846,806.64 = 264,858.18 : x
  2. Step 2: Convert to fraction form
    564,353.25/846,806.64 = 264,858.18/x
  3. Step 3: Cross multiply
    564,353.25x = 846,806.64 × 264,858.18
  4. Step 4: Simplify right side
    564,353.25x = 224,283,665,482.32
  5. Step 5: Solve for x
    x = 224,283,665,482.32/564,353.25
  6. Step 6: Final answer
    x = 397,417.16

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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.