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Finding the Fourth Proportional to 510,059.84, 703,968 and 295,162.88

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Solution

The fourth proportional to 510,059.84, 703,968 and 295,162.88 is: 407,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,059.84 : 703,968 = 295,162.88 : x
  2. Step 2: Convert to fraction form
    510,059.84/703,968 = 295,162.88/x
  3. Step 3: Cross multiply
    510,059.84x = 703,968 × 295,162.88
  4. Step 4: Simplify right side
    510,059.84x = 207,785,222,307.84
  5. Step 5: Solve for x
    x = 207,785,222,307.84/510,059.84
  6. Step 6: Final answer
    x = 407,374.21

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1.5x scale

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.