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Finding the Fourth Proportional to 296,801.66, 410,129.40 and 216,089.06

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Solution

The fourth proportional to 296,801.66, 410,129.40 and 216,089.06 is: 298,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,801.66 : 410,129.40 = 216,089.06 : x
  2. Step 2: Convert to fraction form
    296,801.66/410,129.40 = 216,089.06/x
  3. Step 3: Cross multiply
    296,801.66x = 410,129.40 × 216,089.06
  4. Step 4: Simplify right side
    296,801.66x = 88,624,476,524.36
  5. Step 5: Solve for x
    x = 88,624,476,524.36/296,801.66
  6. Step 6: Final answer
    x = 298,598.32

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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.