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Finding the Fourth Proportional to 702,852.48, 969,903.18 and 416,326.32

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Solution

The fourth proportional to 702,852.48, 969,903.18 and 416,326.32 is: 574,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,852.48 : 969,903.18 = 416,326.32 : x
  2. Step 2: Convert to fraction form
    702,852.48/969,903.18 = 416,326.32/x
  3. Step 3: Cross multiply
    702,852.48x = 969,903.18 × 416,326.32
  4. Step 4: Simplify right side
    702,852.48x = 403,796,221,685.70
  5. Step 5: Solve for x
    x = 403,796,221,685.70/702,852.48
  6. Step 6: Final answer
    x = 574,510.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.