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Finding the Fourth Proportional to 406,657.94, 610,154.19 and 178,836.30

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Solution

The fourth proportional to 406,657.94, 610,154.19 and 178,836.30 is: 268,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657.94 : 610,154.19 = 178,836.30 : x
  2. Step 2: Convert to fraction form
    406,657.94/610,154.19 = 178,836.30/x
  3. Step 3: Cross multiply
    406,657.94x = 610,154.19 × 178,836.30
  4. Step 4: Simplify right side
    406,657.94x = 109,117,717,769.10
  5. Step 5: Solve for x
    x = 109,117,717,769.10/406,657.94
  6. Step 6: Final answer
    x = 268,328.02

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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.