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Finding the Fourth Proportional to 466,641, 643,964.58 and 254,673

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Solution

The fourth proportional to 466,641, 643,964.58 and 254,673 is: 351,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,641 : 643,964.58 = 254,673 : x
  2. Step 2: Convert to fraction form
    466,641/643,964.58 = 254,673/x
  3. Step 3: Cross multiply
    466,641x = 643,964.58 × 254,673
  4. Step 4: Simplify right side
    466,641x = 164,000,391,482.34
  5. Step 5: Solve for x
    x = 164,000,391,482.34/466,641
  6. Step 6: Final answer
    x = 351,448.74

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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.