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Finding the Fourth Proportional to 562,185.81, 841,927.32 and 321,570.45

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Solution

The fourth proportional to 562,185.81, 841,927.32 and 321,570.45 is: 481,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,185.81 : 841,927.32 = 321,570.45 : x
  2. Step 2: Convert to fraction form
    562,185.81/841,927.32 = 321,570.45/x
  3. Step 3: Cross multiply
    562,185.81x = 841,927.32 × 321,570.45
  4. Step 4: Simplify right side
    562,185.81x = 270,738,947,159.69
  5. Step 5: Solve for x
    x = 270,738,947,159.69/562,185.81
  6. Step 6: Final answer
    x = 481,582.68

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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.