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Finding the Fourth Proportional to 567,085.30, 849,643.80 and 478,511.80

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Solution

The fourth proportional to 567,085.30, 849,643.80 and 478,511.80 is: 716,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,085.30 : 849,643.80 = 478,511.80 : x
  2. Step 2: Convert to fraction form
    567,085.30/849,643.80 = 478,511.80/x
  3. Step 3: Cross multiply
    567,085.30x = 849,643.80 × 478,511.80
  4. Step 4: Simplify right side
    567,085.30x = 406,564,584,096.84
  5. Step 5: Solve for x
    x = 406,564,584,096.84/567,085.30
  6. Step 6: Final answer
    x = 716,937.27

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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.