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Finding the Fourth Proportional to 410,703.76, 566,754.60 and 229,412.80

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Solution

The fourth proportional to 410,703.76, 566,754.60 and 229,412.80 is: 316,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,703.76 : 566,754.60 = 229,412.80 : x
  2. Step 2: Convert to fraction form
    410,703.76/566,754.60 = 229,412.80/x
  3. Step 3: Cross multiply
    410,703.76x = 566,754.60 × 229,412.80
  4. Step 4: Simplify right side
    410,703.76x = 130,020,759,698.88
  5. Step 5: Solve for x
    x = 130,020,759,698.88/410,703.76
  6. Step 6: Final answer
    x = 316,580.40

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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.