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Finding the Fourth Proportional to 282,714.64, 390,141.20 and 155,390.20

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Solution

The fourth proportional to 282,714.64, 390,141.20 and 155,390.20 is: 214,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,714.64 : 390,141.20 = 155,390.20 : x
  2. Step 2: Convert to fraction form
    282,714.64/390,141.20 = 155,390.20/x
  3. Step 3: Cross multiply
    282,714.64x = 390,141.20 × 155,390.20
  4. Step 4: Simplify right side
    282,714.64x = 60,624,119,096.24
  5. Step 5: Solve for x
    x = 60,624,119,096.24/282,714.64
  6. Step 6: Final answer
    x = 214,435.73

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1.5x scale

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.