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Finding the Fourth Proportional to 562,020.02, 774,855.42 and 409,083.14

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Solution

The fourth proportional to 562,020.02, 774,855.42 and 409,083.14 is: 564,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,020.02 : 774,855.42 = 409,083.14 : x
  2. Step 2: Convert to fraction form
    562,020.02/774,855.42 = 409,083.14/x
  3. Step 3: Cross multiply
    562,020.02x = 774,855.42 × 409,083.14
  4. Step 4: Simplify right side
    562,020.02x = 316,980,288,259.62
  5. Step 5: Solve for x
    x = 316,980,288,259.62/562,020.02
  6. Step 6: Final answer
    x = 564,001.77

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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.