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Finding the Fourth Proportional to 456,158.40, 684,237.60 and 306,859.20

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Solution

The fourth proportional to 456,158.40, 684,237.60 and 306,859.20 is: 460,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,158.40 : 684,237.60 = 306,859.20 : x
  2. Step 2: Convert to fraction form
    456,158.40/684,237.60 = 306,859.20/x
  3. Step 3: Cross multiply
    456,158.40x = 684,237.60 × 306,859.20
  4. Step 4: Simplify right side
    456,158.40x = 209,964,602,545.92
  5. Step 5: Solve for x
    x = 209,964,602,545.92/456,158.40
  6. Step 6: Final answer
    x = 460,288.80

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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.