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Finding the Fourth Proportional to 409,095, 564,602.94 and 230,281.56

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Solution

The fourth proportional to 409,095, 564,602.94 and 230,281.56 is: 317,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,095 : 564,602.94 = 230,281.56 : x
  2. Step 2: Convert to fraction form
    409,095/564,602.94 = 230,281.56/x
  3. Step 3: Cross multiply
    409,095x = 564,602.94 × 230,281.56
  4. Step 4: Simplify right side
    409,095x = 130,017,645,803.79
  5. Step 5: Solve for x
    x = 130,017,645,803.79/409,095
  6. Step 6: Final answer
    x = 317,817.73

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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.