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Finding the Fourth Proportional to 456,571, 630,070.14 and 255,367

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Solution

The fourth proportional to 456,571, 630,070.14 and 255,367 is: 352,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,571 : 630,070.14 = 255,367 : x
  2. Step 2: Convert to fraction form
    456,571/630,070.14 = 255,367/x
  3. Step 3: Cross multiply
    456,571x = 630,070.14 × 255,367
  4. Step 4: Simplify right side
    456,571x = 160,899,121,441.38
  5. Step 5: Solve for x
    x = 160,899,121,441.38/456,571
  6. Step 6: Final answer
    x = 352,407.67

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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.