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Finding the Fourth Proportional to 567,084.80, 849,643.05 and 478,511.30

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Solution

The fourth proportional to 567,084.80, 849,643.05 and 478,511.30 is: 716,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,084.80 : 849,643.05 = 478,511.30 : x
  2. Step 2: Convert to fraction form
    567,084.80/849,643.05 = 478,511.30/x
  3. Step 3: Cross multiply
    567,084.80x = 849,643.05 × 478,511.30
  4. Step 4: Simplify right side
    567,084.80x = 406,563,800,391.47
  5. Step 5: Solve for x
    x = 406,563,800,391.47/567,084.80
  6. Step 6: Final answer
    x = 716,936.52

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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.