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Finding the Fourth Proportional to 345,769, 518,653.50 and 112,297

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Solution

The fourth proportional to 345,769, 518,653.50 and 112,297 is: 168,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,769 : 518,653.50 = 112,297 : x
  2. Step 2: Convert to fraction form
    345,769/518,653.50 = 112,297/x
  3. Step 3: Cross multiply
    345,769x = 518,653.50 × 112,297
  4. Step 4: Simplify right side
    345,769x = 58,243,232,089.50
  5. Step 5: Solve for x
    x = 58,243,232,089.50/345,769
  6. Step 6: Final answer
    x = 168,445.50

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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.