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Finding the Fourth Proportional to 414,506, 572,018.28 and 235,658

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Solution

The fourth proportional to 414,506, 572,018.28 and 235,658 is: 325,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,506 : 572,018.28 = 235,658 : x
  2. Step 2: Convert to fraction form
    414,506/572,018.28 = 235,658/x
  3. Step 3: Cross multiply
    414,506x = 572,018.28 × 235,658
  4. Step 4: Simplify right side
    414,506x = 134,800,683,828.24
  5. Step 5: Solve for x
    x = 134,800,683,828.24/414,506
  6. Step 6: Final answer
    x = 325,208.04

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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.