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Finding the Fourth Proportional to 406,411.84, 609,594.32 and 122,096.31

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Solution

The fourth proportional to 406,411.84, 609,594.32 and 122,096.31 is: 183,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,411.84 : 609,594.32 = 122,096.31 : x
  2. Step 2: Convert to fraction form
    406,411.84/609,594.32 = 122,096.31/x
  3. Step 3: Cross multiply
    406,411.84x = 609,594.32 × 122,096.31
  4. Step 4: Simplify right side
    406,411.84x = 74,429,215,088.22
  5. Step 5: Solve for x
    x = 74,429,215,088.22/406,411.84
  6. Step 6: Final answer
    x = 183,137.42

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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.