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Finding the Fourth Proportional to 343,083.04, 514,284 and 162,852.64

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Solution

The fourth proportional to 343,083.04, 514,284 and 162,852.64 is: 244,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,083.04 : 514,284 = 162,852.64 : x
  2. Step 2: Convert to fraction form
    343,083.04/514,284 = 162,852.64/x
  3. Step 3: Cross multiply
    343,083.04x = 514,284 × 162,852.64
  4. Step 4: Simplify right side
    343,083.04x = 83,752,507,109.76
  5. Step 5: Solve for x
    x = 83,752,507,109.76/343,083.04
  6. Step 6: Final answer
    x = 244,117.30

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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.