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Finding the Fourth Proportional to 469,325.64, 702,822.04 and 429,507.64

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Solution

The fourth proportional to 469,325.64, 702,822.04 and 429,507.64 is: 643,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,325.64 : 702,822.04 = 429,507.64 : x
  2. Step 2: Convert to fraction form
    469,325.64/702,822.04 = 429,507.64/x
  3. Step 3: Cross multiply
    469,325.64x = 702,822.04 × 429,507.64
  4. Step 4: Simplify right side
    469,325.64x = 301,867,435,740.39
  5. Step 5: Solve for x
    x = 301,867,435,740.39/469,325.64
  6. Step 6: Final answer
    x = 643,194.00

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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.