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Finding the Fourth Proportional to 510,362.96, 704,255.04 and 295,517.48

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Solution

The fourth proportional to 510,362.96, 704,255.04 and 295,517.48 is: 407,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,362.96 : 704,255.04 = 295,517.48 : x
  2. Step 2: Convert to fraction form
    510,362.96/704,255.04 = 295,517.48/x
  3. Step 3: Cross multiply
    510,362.96x = 704,255.04 × 295,517.48
  4. Step 4: Simplify right side
    510,362.96x = 208,119,671,176.82
  5. Step 5: Solve for x
    x = 208,119,671,176.82/510,362.96
  6. Step 6: Final answer
    x = 407,787.57

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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.