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Finding the Fourth Proportional to 409,398.76, 565,091.94 and 258,596.20

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Solution

The fourth proportional to 409,398.76, 565,091.94 and 258,596.20 is: 356,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,398.76 : 565,091.94 = 258,596.20 : x
  2. Step 2: Convert to fraction form
    409,398.76/565,091.94 = 258,596.20/x
  3. Step 3: Cross multiply
    409,398.76x = 565,091.94 × 258,596.20
  4. Step 4: Simplify right side
    409,398.76x = 146,130,628,334.63
  5. Step 5: Solve for x
    x = 146,130,628,334.63/409,398.76
  6. Step 6: Final answer
    x = 356,939.60

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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.