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Finding the Fourth Proportional to 405,440.30, 608,160.45 and 256,141.10

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Solution

The fourth proportional to 405,440.30, 608,160.45 and 256,141.10 is: 384,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,440.30 : 608,160.45 = 256,141.10 : x
  2. Step 2: Convert to fraction form
    405,440.30/608,160.45 = 256,141.10/x
  3. Step 3: Cross multiply
    405,440.30x = 608,160.45 × 256,141.10
  4. Step 4: Simplify right side
    405,440.30x = 155,774,886,639.50
  5. Step 5: Solve for x
    x = 155,774,886,639.50/405,440.30
  6. Step 6: Final answer
    x = 384,211.65

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Similar ratio
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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.