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Finding the Fourth Proportional to 232,838.16, 349,259.68 and 186,386.32

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Solution

The fourth proportional to 232,838.16, 349,259.68 and 186,386.32 is: 279,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,838.16 : 349,259.68 = 186,386.32 : x
  2. Step 2: Convert to fraction form
    232,838.16/349,259.68 = 186,386.32/x
  3. Step 3: Cross multiply
    232,838.16x = 349,259.68 × 186,386.32
  4. Step 4: Simplify right side
    232,838.16x = 65,097,226,479.58
  5. Step 5: Solve for x
    x = 65,097,226,479.58/232,838.16
  6. Step 6: Final answer
    x = 279,581.43

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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.