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Finding the Fourth Proportional to 470,225.60, 705,338.40 and 402,574.40

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Solution

The fourth proportional to 470,225.60, 705,338.40 and 402,574.40 is: 603,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,225.60 : 705,338.40 = 402,574.40 : x
  2. Step 2: Convert to fraction form
    470,225.60/705,338.40 = 402,574.40/x
  3. Step 3: Cross multiply
    470,225.60x = 705,338.40 × 402,574.40
  4. Step 4: Simplify right side
    470,225.60x = 283,951,183,176.96
  5. Step 5: Solve for x
    x = 283,951,183,176.96/470,225.60
  6. Step 6: Final answer
    x = 603,861.60

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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.