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Finding the Fourth Proportional to 314,097.68, 471,199.08 and 246,627

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Solution

The fourth proportional to 314,097.68, 471,199.08 and 246,627 is: 369,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,097.68 : 471,199.08 = 246,627 : x
  2. Step 2: Convert to fraction form
    314,097.68/471,199.08 = 246,627/x
  3. Step 3: Cross multiply
    314,097.68x = 471,199.08 × 246,627
  4. Step 4: Simplify right side
    314,097.68x = 116,210,415,503.16
  5. Step 5: Solve for x
    x = 116,210,415,503.16/314,097.68
  6. Step 6: Final answer
    x = 369,981.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.