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Finding the Fourth Proportional to 340,253, 469,549.14 and 189,350.12

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Solution

The fourth proportional to 340,253, 469,549.14 and 189,350.12 is: 261,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,253 : 469,549.14 = 189,350.12 : x
  2. Step 2: Convert to fraction form
    340,253/469,549.14 = 189,350.12/x
  3. Step 3: Cross multiply
    340,253x = 469,549.14 × 189,350.12
  4. Step 4: Simplify right side
    340,253x = 88,909,186,004.90
  5. Step 5: Solve for x
    x = 88,909,186,004.90/340,253
  6. Step 6: Final answer
    x = 261,303.17

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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.