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Finding the Fourth Proportional to 415,564.16, 573,567.70 and 262,505

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Solution

The fourth proportional to 415,564.16, 573,567.70 and 262,505 is: 362,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,564.16 : 573,567.70 = 262,505 : x
  2. Step 2: Convert to fraction form
    415,564.16/573,567.70 = 262,505/x
  3. Step 3: Cross multiply
    415,564.16x = 573,567.70 × 262,505
  4. Step 4: Simplify right side
    415,564.16x = 150,564,389,088.50
  5. Step 5: Solve for x
    x = 150,564,389,088.50/415,564.16
  6. Step 6: Final answer
    x = 362,313.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.