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Finding the Fourth Proportional to 969,444.64, 1,453,510.86 and 338,014

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Solution

The fourth proportional to 969,444.64, 1,453,510.86 and 338,014 is: 506,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,444.64 : 1,453,510.86 = 338,014 : x
  2. Step 2: Convert to fraction form
    969,444.64/1,453,510.86 = 338,014/x
  3. Step 3: Cross multiply
    969,444.64x = 1,453,510.86 × 338,014
  4. Step 4: Simplify right side
    969,444.64x = 491,307,019,832.04
  5. Step 5: Solve for x
    x = 491,307,019,832.04/969,444.64
  6. Step 6: Final answer
    x = 506,792.24

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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.