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Finding the Fourth Proportional to 282,587.32, 389,808.30 and 176,419

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Solution

The fourth proportional to 282,587.32, 389,808.30 and 176,419 is: 243,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,587.32 : 389,808.30 = 176,419 : x
  2. Step 2: Convert to fraction form
    282,587.32/389,808.30 = 176,419/x
  3. Step 3: Cross multiply
    282,587.32x = 389,808.30 × 176,419
  4. Step 4: Simplify right side
    282,587.32x = 68,769,590,477.70
  5. Step 5: Solve for x
    x = 68,769,590,477.70/282,587.32
  6. Step 6: Final answer
    x = 243,356.96

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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.