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Finding the Fourth Proportional to 567,083.30, 849,640.80 and 478,509.80

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Solution

The fourth proportional to 567,083.30, 849,640.80 and 478,509.80 is: 716,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,083.30 : 849,640.80 = 478,509.80 : x
  2. Step 2: Convert to fraction form
    567,083.30/849,640.80 = 478,509.80/x
  3. Step 3: Cross multiply
    567,083.30x = 849,640.80 × 478,509.80
  4. Step 4: Simplify right side
    567,083.30x = 406,561,449,279.84
  5. Step 5: Solve for x
    x = 406,561,449,279.84/567,083.30
  6. Step 6: Final answer
    x = 716,934.27

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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.