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Finding the Fourth Proportional to 736,686, 1,016,554.05 and 414,389.16

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Solution

The fourth proportional to 736,686, 1,016,554.05 and 414,389.16 is: 571,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,686 : 1,016,554.05 = 414,389.16 : x
  2. Step 2: Convert to fraction form
    736,686/1,016,554.05 = 414,389.16/x
  3. Step 3: Cross multiply
    736,686x = 1,016,554.05 × 414,389.16
  4. Step 4: Simplify right side
    736,686x = 421,248,978,874.10
  5. Step 5: Solve for x
    x = 421,248,978,874.10/736,686
  6. Step 6: Final answer
    x = 571,816.19

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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.