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Finding the Fourth Proportional to 410,494.94, 566,492.64 and 229,200.74

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Solution

The fourth proportional to 410,494.94, 566,492.64 and 229,200.74 is: 316,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,494.94 : 566,492.64 = 229,200.74 : x
  2. Step 2: Convert to fraction form
    410,494.94/566,492.64 = 229,200.74/x
  3. Step 3: Cross multiply
    410,494.94x = 566,492.64 × 229,200.74
  4. Step 4: Simplify right side
    410,494.94x = 129,840,532,292.55
  5. Step 5: Solve for x
    x = 129,840,532,292.55/410,494.94
  6. Step 6: Final answer
    x = 316,302.39

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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.