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Finding the Fourth Proportional to 458,932.84, 632,816.75 and 313,762.28

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Solution

The fourth proportional to 458,932.84, 632,816.75 and 313,762.28 is: 432,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,932.84 : 632,816.75 = 313,762.28 : x
  2. Step 2: Convert to fraction form
    458,932.84/632,816.75 = 313,762.28/x
  3. Step 3: Cross multiply
    458,932.84x = 632,816.75 × 313,762.28
  4. Step 4: Simplify right side
    458,932.84x = 198,554,023,922.51
  5. Step 5: Solve for x
    x = 198,554,023,922.51/458,932.84
  6. Step 6: Final answer
    x = 432,642.88

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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.