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Finding the Fourth Proportional to 314,133.62, 467,647.52 and 312,265.31

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Solution

The fourth proportional to 314,133.62, 467,647.52 and 312,265.31 is: 464,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,133.62 : 467,647.52 = 312,265.31 : x
  2. Step 2: Convert to fraction form
    314,133.62/467,647.52 = 312,265.31/x
  3. Step 3: Cross multiply
    314,133.62x = 467,647.52 × 312,265.31
  4. Step 4: Simplify right side
    314,133.62x = 146,030,095,660.46
  5. Step 5: Solve for x
    x = 146,030,095,660.46/314,133.62
  6. Step 6: Final answer
    x = 464,866.19

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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.