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Finding the Fourth Proportional to 282,275.30, 423,276.86 and 163,980.48

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Solution

The fourth proportional to 282,275.30, 423,276.86 and 163,980.48 is: 245,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,275.30 : 423,276.86 = 163,980.48 : x
  2. Step 2: Convert to fraction form
    282,275.30/423,276.86 = 163,980.48/x
  3. Step 3: Cross multiply
    282,275.30x = 423,276.86 × 163,980.48
  4. Step 4: Simplify right side
    282,275.30x = 69,409,142,675.69
  5. Step 5: Solve for x
    x = 69,409,142,675.69/282,275.30
  6. Step 6: Final answer
    x = 245,891.66

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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.