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Finding the Fourth Proportional to 567,086.30, 849,645.30 and 478,512.80

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Solution

The fourth proportional to 567,086.30, 849,645.30 and 478,512.80 is: 716,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,086.30 : 849,645.30 = 478,512.80 : x
  2. Step 2: Convert to fraction form
    567,086.30/849,645.30 = 478,512.80/x
  3. Step 3: Cross multiply
    567,086.30x = 849,645.30 × 478,512.80
  4. Step 4: Simplify right side
    567,086.30x = 406,566,151,509.84
  5. Step 5: Solve for x
    x = 406,566,151,509.84/567,086.30
  6. Step 6: Final answer
    x = 716,938.76

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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.