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Finding the Fourth Proportional to 410,552, 566,529.11 and 229,253.11

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Solution

The fourth proportional to 410,552, 566,529.11 and 229,253.11 is: 316,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,552 : 566,529.11 = 229,253.11 : x
  2. Step 2: Convert to fraction form
    410,552/566,529.11 = 229,253.11/x
  3. Step 3: Cross multiply
    410,552x = 566,529.11 × 229,253.11
  4. Step 4: Simplify right side
    410,552x = 129,878,556,394.12
  5. Step 5: Solve for x
    x = 129,878,556,394.12/410,552
  6. Step 6: Final answer
    x = 316,351.05

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1.5x scale

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.