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Finding the Fourth Proportional to 386,256, 579,358.08 and 105,775.68

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Solution

The fourth proportional to 386,256, 579,358.08 and 105,775.68 is: 158,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,256 : 579,358.08 = 105,775.68 : x
  2. Step 2: Convert to fraction form
    386,256/579,358.08 = 105,775.68/x
  3. Step 3: Cross multiply
    386,256x = 579,358.08 × 105,775.68
  4. Step 4: Simplify right side
    386,256x = 61,281,994,875.49
  5. Step 5: Solve for x
    x = 61,281,994,875.49/386,256
  6. Step 6: Final answer
    x = 158,656.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.