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Finding the Fourth Proportional to 510,070.73, 703,886.23 and 295,206.49

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Solution

The fourth proportional to 510,070.73, 703,886.23 and 295,206.49 is: 407,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,070.73 : 703,886.23 = 295,206.49 : x
  2. Step 2: Convert to fraction form
    510,070.73/703,886.23 = 295,206.49/x
  3. Step 3: Cross multiply
    510,070.73x = 703,886.23 × 295,206.49
  4. Step 4: Simplify right side
    510,070.73x = 207,791,783,317.63
  5. Step 5: Solve for x
    x = 207,791,783,317.63/510,070.73
  6. Step 6: Final answer
    x = 407,378.37

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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.