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Finding the Fourth Proportional to 456,095.20, 684,142.80 and 288,133.60

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Solution

The fourth proportional to 456,095.20, 684,142.80 and 288,133.60 is: 432,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.20 : 684,142.80 = 288,133.60 : x
  2. Step 2: Convert to fraction form
    456,095.20/684,142.80 = 288,133.60/x
  3. Step 3: Cross multiply
    456,095.20x = 684,142.80 × 288,133.60
  4. Step 4: Simplify right side
    456,095.20x = 197,124,527,878.08
  5. Step 5: Solve for x
    x = 197,124,527,878.08/456,095.20
  6. Step 6: Final answer
    x = 432,200.40

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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.