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Finding the Fourth Proportional to 360,926.32, 497,963.82 and 209,994.16

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Solution

The fourth proportional to 360,926.32, 497,963.82 and 209,994.16 is: 289,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,926.32 : 497,963.82 = 209,994.16 : x
  2. Step 2: Convert to fraction form
    360,926.32/497,963.82 = 209,994.16/x
  3. Step 3: Cross multiply
    360,926.32x = 497,963.82 × 209,994.16
  4. Step 4: Simplify right side
    360,926.32x = 104,569,494,091.29
  5. Step 5: Solve for x
    x = 104,569,494,091.29/360,926.32
  6. Step 6: Final answer
    x = 289,725.32

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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.