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Finding the Fourth Proportional to 469,322.14, 702,816.79 and 429,504.14

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Solution

The fourth proportional to 469,322.14, 702,816.79 and 429,504.14 is: 643,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,322.14 : 702,816.79 = 429,504.14 : x
  2. Step 2: Convert to fraction form
    469,322.14/702,816.79 = 429,504.14/x
  3. Step 3: Cross multiply
    469,322.14x = 702,816.79 × 429,504.14
  4. Step 4: Simplify right side
    469,322.14x = 301,862,720,966.51
  5. Step 5: Solve for x
    x = 301,862,720,966.51/469,322.14
  6. Step 6: Final answer
    x = 643,188.75

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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.