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Finding the Fourth Proportional to 407,452.61, 611,304.06 and 194,492.27

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Solution

The fourth proportional to 407,452.61, 611,304.06 and 194,492.27 is: 291,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,452.61 : 611,304.06 = 194,492.27 : x
  2. Step 2: Convert to fraction form
    407,452.61/611,304.06 = 194,492.27/x
  3. Step 3: Cross multiply
    407,452.61x = 611,304.06 × 194,492.27
  4. Step 4: Simplify right side
    407,452.61x = 118,893,915,783.09
  5. Step 5: Solve for x
    x = 118,893,915,783.09/407,452.61
  6. Step 6: Final answer
    x = 291,798.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.