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Finding the Fourth Proportional to 282,778.40, 390,228.36 and 169,637.60

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Solution

The fourth proportional to 282,778.40, 390,228.36 and 169,637.60 is: 234,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,778.40 : 390,228.36 = 169,637.60 : x
  2. Step 2: Convert to fraction form
    282,778.40/390,228.36 = 169,637.60/x
  3. Step 3: Cross multiply
    282,778.40x = 390,228.36 × 169,637.60
  4. Step 4: Simplify right side
    282,778.40x = 66,197,402,442.34
  5. Step 5: Solve for x
    x = 66,197,402,442.34/282,778.40
  6. Step 6: Final answer
    x = 234,096.39

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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.