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Finding the Fourth Proportional to 702,384.16, 969,185.86 and 426,598.50

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Solution

The fourth proportional to 702,384.16, 969,185.86 and 426,598.50 is: 588,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,384.16 : 969,185.86 = 426,598.50 : x
  2. Step 2: Convert to fraction form
    702,384.16/969,185.86 = 426,598.50/x
  3. Step 3: Cross multiply
    702,384.16x = 969,185.86 × 426,598.50
  4. Step 4: Simplify right side
    702,384.16x = 413,453,234,097.21
  5. Step 5: Solve for x
    x = 413,453,234,097.21/702,384.16
  6. Step 6: Final answer
    x = 588,642.59

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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.