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Finding the Fourth Proportional to 319,628.32, 476,822.74 and 310,940.46

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Solution

The fourth proportional to 319,628.32, 476,822.74 and 310,940.46 is: 463,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,628.32 : 476,822.74 = 310,940.46 : x
  2. Step 2: Convert to fraction form
    319,628.32/476,822.74 = 310,940.46/x
  3. Step 3: Cross multiply
    319,628.32x = 476,822.74 × 310,940.46
  4. Step 4: Simplify right side
    319,628.32x = 148,263,482,114.06
  5. Step 5: Solve for x
    x = 148,263,482,114.06/319,628.32
  6. Step 6: Final answer
    x = 463,862.16

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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.