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Finding the Fourth Proportional to 429,322.84, 644,001.77 and 109,483.00

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Solution

The fourth proportional to 429,322.84, 644,001.77 and 109,483.00 is: 164,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,322.84 : 644,001.77 = 109,483.00 : x
  2. Step 2: Convert to fraction form
    429,322.84/644,001.77 = 109,483.00/x
  3. Step 3: Cross multiply
    429,322.84x = 644,001.77 × 109,483.00
  4. Step 4: Simplify right side
    429,322.84x = 70,507,244,448.61
  5. Step 5: Solve for x
    x = 70,507,244,448.61/429,322.84
  6. Step 6: Final answer
    x = 164,228.96

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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.