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Finding the Fourth Proportional to 405,891.60, 569,492.40 and 405,891.60

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Solution

The fourth proportional to 405,891.60, 569,492.40 and 405,891.60 is: 569,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,891.60 : 569,492.40 = 405,891.60 : x
  2. Step 2: Convert to fraction form
    405,891.60/569,492.40 = 405,891.60/x
  3. Step 3: Cross multiply
    405,891.60x = 569,492.40 × 405,891.60
  4. Step 4: Simplify right side
    405,891.60x = 231,152,181,423.84
  5. Step 5: Solve for x
    x = 231,152,181,423.84/405,891.60
  6. Step 6: Final answer
    x = 569,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.