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Finding the Fourth Proportional to 406,052.40, 607,766.40 and 316,822.80

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Solution

The fourth proportional to 406,052.40, 607,766.40 and 316,822.80 is: 474,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,052.40 : 607,766.40 = 316,822.80 : x
  2. Step 2: Convert to fraction form
    406,052.40/607,766.40 = 316,822.80/x
  3. Step 3: Cross multiply
    406,052.40x = 607,766.40 × 316,822.80
  4. Step 4: Simplify right side
    406,052.40x = 192,554,252,593.92
  5. Step 5: Solve for x
    x = 192,554,252,593.92/406,052.40
  6. Step 6: Final answer
    x = 474,210.35

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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.