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Finding the Fourth Proportional to 282,646.80, 423,970.20 and 164,451.60

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Solution

The fourth proportional to 282,646.80, 423,970.20 and 164,451.60 is: 246,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,646.80 : 423,970.20 = 164,451.60 : x
  2. Step 2: Convert to fraction form
    282,646.80/423,970.20 = 164,451.60/x
  3. Step 3: Cross multiply
    282,646.80x = 423,970.20 × 164,451.60
  4. Step 4: Simplify right side
    282,646.80x = 69,722,577,742.32
  5. Step 5: Solve for x
    x = 69,722,577,742.32/282,646.80
  6. Step 6: Final answer
    x = 246,677.40

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1.5x scale

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.