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Finding the Fourth Proportional to 314,151.77, 467,674.31 and 312,283.40

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Solution

The fourth proportional to 314,151.77, 467,674.31 and 312,283.40 is: 464,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,151.77 : 467,674.31 = 312,283.40 : x
  2. Step 2: Convert to fraction form
    314,151.77/467,674.31 = 312,283.40/x
  3. Step 3: Cross multiply
    314,151.77x = 467,674.31 × 312,283.40
  4. Step 4: Simplify right side
    314,151.77x = 146,046,922,935.87
  5. Step 5: Solve for x
    x = 146,046,922,935.87/314,151.77
  6. Step 6: Final answer
    x = 464,892.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.