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Finding the Fourth Proportional to 573,206.23, 859,828.47 and 257,664.07

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Solution

The fourth proportional to 573,206.23, 859,828.47 and 257,664.07 is: 386,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,206.23 : 859,828.47 = 257,664.07 : x
  2. Step 2: Convert to fraction form
    573,206.23/859,828.47 = 257,664.07/x
  3. Step 3: Cross multiply
    573,206.23x = 859,828.47 × 257,664.07
  4. Step 4: Simplify right side
    573,206.23x = 221,546,903,082.07
  5. Step 5: Solve for x
    x = 221,546,903,082.07/573,206.23
  6. Step 6: Final answer
    x = 386,504.70

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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.