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Finding the Fourth Proportional to 389,209.47, 583,838.82 and 164,528.02

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Solution

The fourth proportional to 389,209.47, 583,838.82 and 164,528.02 is: 246,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,209.47 : 583,838.82 = 164,528.02 : x
  2. Step 2: Convert to fraction form
    389,209.47/583,838.82 = 164,528.02/x
  3. Step 3: Cross multiply
    389,209.47x = 583,838.82 × 164,528.02
  4. Step 4: Simplify right side
    389,209.47x = 96,057,845,053.74
  5. Step 5: Solve for x
    x = 96,057,845,053.74/389,209.47
  6. Step 6: Final answer
    x = 246,802.44

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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.