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Finding the Fourth Proportional to 969,429.10, 1,454,807.91 and 338,342.92

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Solution

The fourth proportional to 969,429.10, 1,454,807.91 and 338,342.92 is: 507,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,429.10 : 1,454,807.91 = 338,342.92 : x
  2. Step 2: Convert to fraction form
    969,429.10/1,454,807.91 = 338,342.92/x
  3. Step 3: Cross multiply
    969,429.10x = 1,454,807.91 × 338,342.92
  4. Step 4: Simplify right side
    969,429.10x = 492,223,956,308.50
  5. Step 5: Solve for x
    x = 492,223,956,308.50/969,429.10
  6. Step 6: Final answer
    x = 507,746.22

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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.