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Finding the Fourth Proportional to 285,188.40, 393,569.28 and 164,320.32

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Solution

The fourth proportional to 285,188.40, 393,569.28 and 164,320.32 is: 226,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,188.40 : 393,569.28 = 164,320.32 : x
  2. Step 2: Convert to fraction form
    285,188.40/393,569.28 = 164,320.32/x
  3. Step 3: Cross multiply
    285,188.40x = 393,569.28 × 164,320.32
  4. Step 4: Simplify right side
    285,188.40x = 64,671,430,031.77
  5. Step 5: Solve for x
    x = 64,671,430,031.77/285,188.40
  6. Step 6: Final answer
    x = 226,767.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.