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Finding the Fourth Proportional to 282,427, 423,815.58 and 164,154.04

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Solution

The fourth proportional to 282,427, 423,815.58 and 164,154.04 is: 246,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,427 : 423,815.58 = 164,154.04 : x
  2. Step 2: Convert to fraction form
    282,427/423,815.58 = 164,154.04/x
  3. Step 3: Cross multiply
    282,427x = 423,815.58 × 164,154.04
  4. Step 4: Simplify right side
    282,427x = 69,571,039,671.94
  5. Step 5: Solve for x
    x = 69,571,039,671.94/282,427
  6. Step 6: Final answer
    x = 246,332.82

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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.