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Finding the Fourth Proportional to 282,360.40, 389,677.80 and 186,701.20

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Solution

The fourth proportional to 282,360.40, 389,677.80 and 186,701.20 is: 257,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,360.40 : 389,677.80 = 186,701.20 : x
  2. Step 2: Convert to fraction form
    282,360.40/389,677.80 = 186,701.20/x
  3. Step 3: Cross multiply
    282,360.40x = 389,677.80 × 186,701.20
  4. Step 4: Simplify right side
    282,360.40x = 72,753,312,873.36
  5. Step 5: Solve for x
    x = 72,753,312,873.36/282,360.40
  6. Step 6: Final answer
    x = 257,661.18

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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.