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Finding the Fourth Proportional to 456,533.50, 684,793.32 and 157,016.67

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Solution

The fourth proportional to 456,533.50, 684,793.32 and 157,016.67 is: 235,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,533.50 : 684,793.32 = 157,016.67 : x
  2. Step 2: Convert to fraction form
    456,533.50/684,793.32 = 157,016.67/x
  3. Step 3: Cross multiply
    456,533.50x = 684,793.32 × 157,016.67
  4. Step 4: Simplify right side
    456,533.50x = 107,523,966,397.06
  5. Step 5: Solve for x
    x = 107,523,966,397.06/456,533.50
  6. Step 6: Final answer
    x = 235,522.62

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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.