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Finding the Fourth Proportional to 406,492.50, 560,643.73 and 277,534.69

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Solution

The fourth proportional to 406,492.50, 560,643.73 and 277,534.69 is: 382,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,492.50 : 560,643.73 = 277,534.69 : x
  2. Step 2: Convert to fraction form
    406,492.50/560,643.73 = 277,534.69/x
  3. Step 3: Cross multiply
    406,492.50x = 560,643.73 × 277,534.69
  4. Step 4: Simplify right side
    406,492.50x = 155,598,083,805.99
  5. Step 5: Solve for x
    x = 155,598,083,805.99/406,492.50
  6. Step 6: Final answer
    x = 382,782.18

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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.