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Finding the Fourth Proportional to 510,363.66, 704,256.03 and 295,518.30

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Solution

The fourth proportional to 510,363.66, 704,256.03 and 295,518.30 is: 407,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,363.66 : 704,256.03 = 295,518.30 : x
  2. Step 2: Convert to fraction form
    510,363.66/704,256.03 = 295,518.30/x
  3. Step 3: Cross multiply
    510,363.66x = 704,256.03 × 295,518.30
  4. Step 4: Simplify right side
    510,363.66x = 208,120,544,750.35
  5. Step 5: Solve for x
    x = 208,120,544,750.35/510,363.66
  6. Step 6: Final answer
    x = 407,788.72

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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.