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Finding the Fourth Proportional to 410,808.49, 566,911.87 and 229,551.64

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Solution

The fourth proportional to 410,808.49, 566,911.87 and 229,551.64 is: 316,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,808.49 : 566,911.87 = 229,551.64 : x
  2. Step 2: Convert to fraction form
    410,808.49/566,911.87 = 229,551.64/x
  3. Step 3: Cross multiply
    410,808.49x = 566,911.87 × 229,551.64
  4. Step 4: Simplify right side
    410,808.49x = 130,135,547,502.81
  5. Step 5: Solve for x
    x = 130,135,547,502.81/410,808.49
  6. Step 6: Final answer
    x = 316,779.11

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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.