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Finding the Fourth Proportional to 510,648.50, 704,588.12 and 295,775.74

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Solution

The fourth proportional to 510,648.50, 704,588.12 and 295,775.74 is: 408,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,648.50 : 704,588.12 = 295,775.74 : x
  2. Step 2: Convert to fraction form
    510,648.50/704,588.12 = 295,775.74/x
  3. Step 3: Cross multiply
    510,648.50x = 704,588.12 × 295,775.74
  4. Step 4: Simplify right side
    510,648.50x = 208,400,072,588.21
  5. Step 5: Solve for x
    x = 208,400,072,588.21/510,648.50
  6. Step 6: Final answer
    x = 408,108.66

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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.