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Finding the Fourth Proportional to 562,185.84, 841,927.32 and 321,570.48

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Solution

The fourth proportional to 562,185.84, 841,927.32 and 321,570.48 is: 481,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,185.84 : 841,927.32 = 321,570.48 : x
  2. Step 2: Convert to fraction form
    562,185.84/841,927.32 = 321,570.48/x
  3. Step 3: Cross multiply
    562,185.84x = 841,927.32 × 321,570.48
  4. Step 4: Simplify right side
    562,185.84x = 270,738,972,417.51
  5. Step 5: Solve for x
    x = 270,738,972,417.51/562,185.84
  6. Step 6: Final answer
    x = 481,582.70

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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.